2556949248 has 288 divisors, whose sum is σ = 8849702400. Its totient is φ = 712986624.

The previous prime is 2556949201. The next prime is 2556949249. The reversal of 2556949248 is 8429496552.

2556949248 is a `hidden beast` number, since 2 + 55 + 69 + 492 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 2556949194 and 2556949203.

It is not an unprimeable number, because it can be changed into a prime (2556949249) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2079898 + ... + 2081126.

Almost surely, 2^2556949248 is an apocalyptic number.

2556949248 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 2556949248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4424851200).

2556949248 is an abundant number, since it is smaller than the sum of its proper divisors (6292753152).

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

2556949248 is a wasteful number, since it uses less digits than its factorization.

2556949248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1304 (or 1284 counting only the distinct ones).

The product of its digits is 6220800, while the sum is 54.

The square root of 2556949248 is about 50566.2856852271. The cubic root of 2556949248 is about 1367.4371337826.

The spelling of 2556949248 in words is "two billion, five hundred fifty-six million, nine hundred forty-nine thousand, two hundred forty-eight".