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2060057664 = 26337732333
BaseRepresentation
bin111101011001001…
…1111110001000000
312022120100202212000
41322302133301000
513204333321124
6540230104000
7102023126010
oct17262376100
95276322760
102060057664
119679378a5
12495aab000
1326aa44642
1415784dc40
15c0cc76c9
hex7ac9fc40

2060057664 has 224 divisors, whose sum is σ = 7019178240. Its totient is φ = 580276224.

The previous prime is 2060057647. The next prime is 2060057693. The reversal of 2060057664 is 4667500602.

2060057664 is a `hidden beast` number, since 20 + 6 + 0 + 0 + 576 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

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 31 ways as a sum of consecutive naturals, for example, 881842 + ... + 884174.

Almost surely, 22060057664 is an apocalyptic number.

2060057664 is a gapful number since it is divisible by the number (24) 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 2060057664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3509589120).

2060057664 is an abundant number, since it is smaller than the sum of its proper divisors (4959120576).

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

2060057664 is a wasteful number, since it uses less digits than its factorization.

2060057664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2434 (or 2418 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 2060057664 is about 45387.8581120546. The cubic root of 2060057664 is about 1272.4081993568.

The spelling of 2060057664 in words is "two billion, sixty million, fifty-seven thousand, six hundred sixty-four".