2078872640 has 56 divisors (see below), whose sum is σ = 5331119640. Its totient is φ = 767582208.

The previous prime is 2078872633. The next prime is 2078872681. The reversal of 2078872640 is 462788702.

It can be written as a sum of positive squares in 4 ways, for example, as 386043904 + 1692828736 = 19648^2 + 41144^2 .

It is a super-2 number, since 2×2078872640² = 8643422906681139200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2078872591 and 2078872600.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 245705 + ... + 254024.

It is an arithmetic number, because the mean of its divisors is an integer number (95198565).

Almost surely, 2^2078872640 is an apocalyptic number.

2078872640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2078872640 is an abundant number, since it is smaller than the sum of its proper divisors (3252247000).

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

2078872640 is a wasteful number, since it uses less digits than its factorization.

2078872640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 499759 (or 499749 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 44.

The square root of 2078872640 is about 45594.6558271910. The cubic root of 2078872640 is about 1276.2701969385.

The spelling of 2078872640 in words is "two billion, seventy-eight million, eight hundred seventy-two thousand, six hundred forty".