2010564941904 has 120 divisors (see below), whose sum is σ = 5688226576032. Its totient is φ = 662904103680.

The previous prime is 2010564941887. The next prime is 2010564941963. The reversal of 2010564941904 is 4091494650102.

2010564941904 is a `hidden beast` number, since 20 + 1 + 0 + 56 + 494 + 1 + 90 + 4 = 666.

It is a super-2 number, since 2×2010564941904² (a number of 25 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 2010564941904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5617662 + ... + 5964834.

Almost surely, 2^{2010564941904} is an apocalyptic number.

2010564941904 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 2010564941904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2844113288016).

2010564941904 is an abundant number, since it is smaller than the sum of its proper divisors (3677661634128).

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

2010564941904 is a wasteful number, since it uses less digits than its factorization.

2010564941904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 347625 (or 347616 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 2010564941904 in words is "two trillion, ten billion, five hundred sixty-four million, nine hundred forty-one thousand, nine hundred four".