2042808760872 has 192 divisors, whose sum is σ = 6248349576000. Its totient is φ = 617928981120.

The previous prime is 2042808760813. The next prime is 2042808760891. The reversal of 2042808760872 is 2780678082402.

2042808760872 is a `hidden beast` number, since 2 + 0 + 4 + 28 + 0 + 8 + 7 + 608 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14645154 + ... + 14783982.

It is an arithmetic number, because the mean of its divisors is an integer number (32543487375).

Almost surely, 2^{2042808760872} is an apocalyptic number.

2042808760872 is a gapful number since it is divisible by the number (22) 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 2042808760872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3124174788000).

2042808760872 is an abundant number, since it is smaller than the sum of its proper divisors (4205540815128).

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

2042808760872 is a wasteful number, since it uses less digits than its factorization.

2042808760872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139429 (or 139408 counting only the distinct ones).

The product of its (nonzero) digits is 4816896, while the sum is 54.

The spelling of 2042808760872 in words is "two trillion, forty-two billion, eight hundred eight million, seven hundred sixty thousand, eight hundred seventy-two".