2675684977920 has 108 divisors (see below), whose sum is σ = 9257591346276. Its totient is φ = 713515991040.

The previous prime is 2675684977919. The next prime is 2675684977921. The reversal of 2675684977920 is 297794865762.

2675684977920 is a `hidden beast` number, since 2 + 6 + 7 + 5 + 68 + 497 + 79 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2675684977919) and next prime (2675684977921).

It can be written as a sum of positive squares in 2 ways, for example, as 1097264630016 + 1578420347904 = 1047504^2 + 1256352^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2675684977921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 116120641 + ... + 116143680.

Almost surely, 2^{2675684977920} is an apocalyptic number.

2675684977920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2675684977920 is an abundant number, since it is smaller than the sum of its proper divisors (6581906368356).

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

2675684977920 is a wasteful number, since it uses less digits than its factorization.

2675684977920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232264348 (or 232264331 counting only the distinct ones).

The product of its (nonzero) digits is 640120320, while the sum is 72.

The spelling of 2675684977920 in words is "two trillion, six hundred seventy-five billion, six hundred eighty-four million, nine hundred seventy-seven thousand, nine hundred twenty".