2488257408 has 256 divisors, whose sum is σ = 8400752640. Its totient is φ = 634798080.

The previous prime is 2488257383. The next prime is 2488257413. The reversal of 2488257408 is 8047528842.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

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, 1082116 + ... + 1084412.

It is an arithmetic number, because the mean of its divisors is an integer number (32815440).

Almost surely, 2^2488257408 is an apocalyptic number.

2488257408 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 2488257408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4200376320).

2488257408 is an abundant number, since it is smaller than the sum of its proper divisors (5912495232).

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

2488257408 is a wasteful number, since it uses less digits than its factorization.

2488257408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2365 (or 2353 counting only the distinct ones).

The product of its (nonzero) digits is 1146880, while the sum is 48.

The square root of 2488257408 is about 49882.4358667457. The cubic root of 2488257408 is about 1355.0805193547.

The spelling of 2488257408 in words is "two billion, four hundred eighty-eight million, two hundred fifty-seven thousand, four hundred eight".