2141777520864 has 72 divisors (see below), whose sum is σ = 6448955123520. Its totient is φ = 671930201088.

The previous prime is 2141777520829. The next prime is 2141777520887. The reversal of 2141777520864 is 4680257771412.

2141777520864 is a `hidden beast` number, since 2 + 1 + 41 + 7 + 77 + 520 + 8 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a self number, because there is not a number n which added to its sum of digits gives 2141777520864.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 218722384 + ... + 218732175.

It is an arithmetic number, because the mean of its divisors is an integer number (89568821160).

Almost surely, 2^{2141777520864} is an apocalyptic number.

2141777520864 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2141777520864 is an abundant number, since it is smaller than the sum of its proper divisors (4307177602656).

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

2141777520864 is a wasteful number, since it uses less digits than its factorization.

2141777520864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 437454592 (or 437454581 counting only the distinct ones).

The product of its (nonzero) digits is 5268480, while the sum is 54.

The spelling of 2141777520864 in words is "two trillion, one hundred forty-one billion, seven hundred seventy-seven million, five hundred twenty thousand, eight hundred sixty-four".