2538920448 has 240 divisors, whose sum is σ = 7890030720. Its totient is φ = 783433728.

The previous prime is 2538920441. The next prime is 2538920459. The reversal of 2538920448 is 8440298352.

2538920448 is a `hidden beast` number, since 25 + 389 + 204 + 48 = 666.

It is a super-2 number, since 2×2538920448² = 12892234082545041408, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2538920441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4114636 + ... + 4115252.

It is an arithmetic number, because the mean of its divisors is an integer number (32875128).

Almost surely, 2^2538920448 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2538920448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3945015360).

2538920448 is an abundant number, since it is smaller than the sum of its proper divisors (5351110272).

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

2538920448 is a wasteful number, since it uses less digits than its factorization.

2538920448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 707 (or 688 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The square root of 2538920448 is about 50387.7013565811. The cubic root of 2538920448 is about 1364.2156617861.

The spelling of 2538920448 in words is "two billion, five hundred thirty-eight million, nine hundred twenty thousand, four hundred forty-eight".