2538747904 has 192 divisors, whose sum is σ = 6708199680. Its totient is φ = 929955840.

The previous prime is 2538747881. The next prime is 2538747919. The reversal of 2538747904 is 4097478352.

It is a happy number.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 2680359 + ... + 2681305.

It is an arithmetic number, because the mean of its divisors is an integer number (34938540).

Almost surely, 2^2538747904 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 2538747904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3354099840).

2538747904 is an abundant number, since it is smaller than the sum of its proper divisors (4169451776).

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

2538747904 is a wasteful number, since it uses less digits than its factorization.

2538747904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1004 (or 984 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 49.

The square root of 2538747904 is about 50385.9891636554. The cubic root of 2538747904 is about 1364.1847572390.

The spelling of 2538747904 in words is "two billion, five hundred thirty-eight million, seven hundred forty-seven thousand, nine hundred four".