2607878982600 has 72 divisors (see below), whose sum is σ = 8758126922610. Its totient is φ = 695434394880.

The previous prime is 2607878982587. The next prime is 2607878982607. The reversal of 2607878982600 is 62898787062.

It can be written as a sum of positive squares in 3 ways, for example, as 2051867164356 + 556011818244 = 1432434^2 + 745662^2 .

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

It is a super-2 number, since 2×2607878982600² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2607878982607) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 724409029 + ... + 724412628.

Almost surely, 2^{2607878982600} is an apocalyptic number.

2607878982600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2607878982600 is an abundant number, since it is smaller than the sum of its proper divisors (6150247940010).

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

2607878982600 is a wasteful number, since it uses less digits than its factorization.

2607878982600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1448821679 (or 1448821667 counting only the distinct ones).

The product of its (nonzero) digits is 32514048, while the sum is 63.

The spelling of 2607878982600 in words is "two trillion, six hundred seven billion, eight hundred seventy-eight million, nine hundred eighty-two thousand, six hundred".