2538254004 has 192 divisors, whose sum is σ = 7393935360. Its totient is φ = 666247680.

The previous prime is 2538253997. The next prime is 2538254077. The reversal of 2538254004 is 4004528352.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4140402 + ... + 4141014.

It is an arithmetic number, because the mean of its divisors is an integer number (38510080).

Almost surely, 2^2538254004 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 2538254004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3696967680).

2538254004 is an abundant number, since it is smaller than the sum of its proper divisors (4855681356).

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

2538254004 is a wasteful number, since it uses less digits than its factorization.

2538254004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 790 (or 788 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 33.

The square root of 2538254004 is about 50381.0877611828. The cubic root of 2538254004 is about 1364.0962865210.

The spelling of 2538254004 in words is "two billion, five hundred thirty-eight million, two hundred fifty-four thousand, four".