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2097045720 = 23335711151167
BaseRepresentation
bin111110011111110…
…0110000011011000
312102010221221221000
41330333212003120
513243320430340
6544030545000
7102652410630
oct17477460330
95363857830
102097045720
11986800540
124a6368160
132755c5273
1415c71b6c0
15c4181d30
hex7cfe60d8

2097045720 has 512 divisors, whose sum is σ = 8825241600. Its totient is φ = 430272000.

The previous prime is 2097045719. The next prime is 2097045733. The reversal of 2097045720 is 275407902.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 12557077 + ... + 12557243.

It is an arithmetic number, because the mean of its divisors is an integer number (17236800).

Almost surely, 22097045720 is an apocalyptic number.

2097045720 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 2097045720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4412620800).

2097045720 is an abundant number, since it is smaller than the sum of its proper divisors (6728195880).

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

2097045720 is a wasteful number, since it uses less digits than its factorization.

2097045720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 356 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 2097045720 is about 45793.5117674982. The cubic root of 2097045720 is about 1279.9783769134.

The spelling of 2097045720 in words is "two billion, ninety-seven million, forty-five thousand, seven hundred twenty".