2538557760 has 224 divisors, whose sum is σ = 8381463552. Its totient is φ = 650280960.

The previous prime is 2538557731. The next prime is 2538557779. The reversal of 2538557760 is 677558352.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

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, 5862504 + ... + 5862936.

It is an arithmetic number, because the mean of its divisors is an integer number (37417248).

Almost surely, 2^2538557760 is an apocalyptic number.

2538557760 is a gapful number since it is divisible by the number (20) 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 2538557760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4190731776).

2538557760 is an abundant number, since it is smaller than the sum of its proper divisors (5842905792).

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

2538557760 is a wasteful number, since it uses less digits than its factorization.

2538557760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 681 (or 671 counting only the distinct ones).

The product of its (nonzero) digits is 1764000, while the sum is 48.

The square root of 2538557760 is about 50384.1022545803. The cubic root of 2538557760 is about 1364.1506987145.

The spelling of 2538557760 in words is "two billion, five hundred thirty-eight million, five hundred fifty-seven thousand, seven hundred sixty".