2538105760 has 48 divisors (see below), whose sum is σ = 6055682472. Its totient is φ = 1005184000.

The previous prime is 2538105701. The next prime is 2538105767. The reversal of 2538105760 is 675018352.

It can be written as a sum of positive squares in 4 ways, for example, as 2537338384 + 767376 = 50372^2 + 876^2 .

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (2538105767) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 62371 + ... + 94690.

Almost surely, 2^2538105760 is an apocalyptic number.

2538105760 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2538105760 is an abundant number, since it is smaller than the sum of its proper divisors (3517576712).

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

2538105760 is a wasteful number, since it uses less digits than its factorization.

2538105760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157177 (or 157169 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 37.

The square root of 2538105760 is about 50379.6165130303. The cubic root of 2538105760 is about 1364.0697298110.

The spelling of 2538105760 in words is "two billion, five hundred thirty-eight million, one hundred five thousand, seven hundred sixty".