2557282464 has 144 divisors (see below), whose sum is σ = 7952817600. Its totient is φ = 773038080.

The previous prime is 2557282459. The next prime is 2557282471. The reversal of 2557282464 is 4642827552.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×2557282464² = 13079387201363822592, which contains 22 as substring.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1827237 + ... + 1828635.

It is an arithmetic number, because the mean of its divisors is an integer number (55227900).

Almost surely, 2^2557282464 is an apocalyptic number.

2557282464 is a gapful number since it is divisible by the number (24) 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 2557282464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3976408800).

2557282464 is an abundant number, since it is smaller than the sum of its proper divisors (5395535136).

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

2557282464 is a wasteful number, since it uses less digits than its factorization.

2557282464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2003 (or 1992 counting only the distinct ones).

The product of its digits is 1075200, while the sum is 45.

The square root of 2557282464 is about 50569.5804214352. The cubic root of 2557282464 is about 1367.4965316686.

The spelling of 2557282464 in words is "two billion, five hundred fifty-seven million, two hundred eighty-two thousand, four hundred sixty-four".