2538072264 has 128 divisors (see below), whose sum is σ = 8149155840. Its totient is φ = 640265472.

The previous prime is 2538072259. The next prime is 2538072283. The reversal of 2538072264 is 4622708352.

2538072264 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (39).

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, 24969 + ... + 75495.

It is an arithmetic number, because the mean of its divisors is an integer number (63665280).

Almost surely, 2^2538072264 is an apocalyptic number.

2538072264 is a gapful number since it is divisible by the number (24) 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 2538072264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4074577920).

2538072264 is an abundant number, since it is smaller than the sum of its proper divisors (5611083576).

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

2538072264 is a wasteful number, since it uses less digits than its factorization.

2538072264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50579 (or 50575 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 39.

The square root of 2538072264 is about 50379.2840758977. The cubic root of 2538072264 is about 1364.0637291311.

The spelling of 2538072264 in words is "two billion, five hundred thirty-eight million, seventy-two thousand, two hundred sixty-four".