2605977984 has 64 divisors (see below), whose sum is σ = 7286472000. Its totient is φ = 822938112.

The previous prime is 2605977953. The next prime is 2605977989. The reversal of 2605977984 is 4897795062.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×2605977984² = 13582242506185408512, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2605977989) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 171294 + ... + 185885.

It is an arithmetic number, because the mean of its divisors is an integer number (113851125).

Almost surely, 2^2605977984 is an apocalyptic number.

2605977984 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2605977984 is an abundant number, since it is smaller than the sum of its proper divisors (4680494016).

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

2605977984 is a wasteful number, since it uses less digits than its factorization.

2605977984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357215 (or 357203 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 57.

The square root of 2605977984 is about 51048.7804359712. The cubic root of 2605977984 is about 1376.1219244765.

The spelling of 2605977984 in words is "two billion, six hundred five million, nine hundred seventy-seven thousand, nine hundred eighty-four".