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2000770360720 = 245179531543709
BaseRepresentation
bin11101000111010111001…
…101001110010110010000
321002021100010102020012121
4131013113031032112100
5230240034203020340
64131050300304024
7264356645314465
oct35072715162620
97067303366177
102000770360720
1170158178823a
12283919b42014
1311689703a511
146cba2d0166c
15370a094c94a
hex1d1d734e590

2000770360720 has 80 divisors (see below), whose sum is σ = 4930597390320. Its totient is φ = 752440328192.

The previous prime is 2000770360711. The next prime is 2000770360723. The reversal of 2000770360720 is 270630770002.

It can be written as a sum of positive squares in 8 ways, for example, as 21549065616 + 1979221295104 = 146796^2 + 1406848^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (34).

It is not an unprimeable number, because it can be changed into a prime (2000770360723) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 524226 + ... + 2067934.

It is an arithmetic number, because the mean of its divisors is an integer number (61632467379).

Almost surely, 22000770360720 is an apocalyptic number.

2000770360720 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2000770360720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2465298695160).

2000770360720 is an abundant number, since it is smaller than the sum of its proper divisors (2929827029600).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2000770360720 is a wasteful number, since it uses less digits than its factorization.

2000770360720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1544692 (or 1544686 counting only the distinct ones).

The product of its (nonzero) digits is 24696, while the sum is 34.

The spelling of 2000770360720 in words is "two trillion, seven hundred seventy million, three hundred sixty thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 340 680 953 1360 1906 3812 4765 7624 9530 15248 16201 19060 32402 38120 64804 76240 81005 129608 162010 259216 324020 648040 1296080 1543709 3087418 6174836 7718545 12349672 15437090 24699344 26243053 30874180 52486106 61748360 104972212 123496720 131215265 209944424 262430530 419888848 524861060 1049722120 1471154677 2099444240 2942309354 5884618708 7355773385 11769237416 14711546770 23538474832 25009629509 29423093540 50019259018 58846187080 100038518036 117692374160 125048147545 200077036072 250096295090 400154072144 500192590180 1000385180360 2000770360720