2657988648 has 128 divisors (see below), whose sum is σ = 8492563200. Its totient is φ = 754520832.

The previous prime is 2657988617. The next prime is 2657988667. The reversal of 2657988648 is 8468897562.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 231786 + ... + 242982.

It is an arithmetic number, because the mean of its divisors is an integer number (66348150).

Almost surely, 2^2657988648 is an apocalyptic number.

2657988648 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2657988648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4246281600).

2657988648 is an abundant number, since it is smaller than the sum of its proper divisors (5834574552).

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

2657988648 is a wasteful number, since it uses less digits than its factorization.

2657988648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11376 (or 11366 counting only the distinct ones).

The product of its digits is 46448640, while the sum is 63.

The square root of 2657988648 is about 51555.6849241672. The cubic root of 2657988648 is about 1385.2166634851.

The spelling of 2657988648 in words is "two billion, six hundred fifty-seven million, nine hundred eighty-eight thousand, six hundred forty-eight".