2657481984 has 54 divisors (see below), whose sum is σ = 7662182346. Its totient is φ = 885826560.

The previous prime is 2657481979. The next prime is 2657481997. The reversal of 2657481984 is 4891847562.

It is a happy number.

2657481984 is a `hidden beast` number, since 26 + 57 + 481 + 98 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2167833600 + 489648384 = 46560^2 + 22128^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2657481984.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 574407 + ... + 579014.

Almost surely, 2^2657481984 is an apocalyptic number.

2657481984 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2657481984 is an abundant number, since it is smaller than the sum of its proper divisors (5004700362).

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

2657481984 is a wasteful number, since it uses less digits than its factorization.

2657481984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1153443 (or 1153426 counting only the distinct ones).

The product of its digits is 3870720, while the sum is 54.

The square root of 2657481984 is about 51550.7709350694. The cubic root of 2657481984 is about 1385.1286415372.

The spelling of 2657481984 in words is "two billion, six hundred fifty-seven million, four hundred eighty-one thousand, nine hundred eighty-four".