2538498960 has 320 divisors, whose sum is σ = 9377256960. Its totient is φ = 629544960.

The previous prime is 2538498959. The next prime is 2538499063. The reversal of 2538498960 is 698948352.

2538498960 is a `hidden beast` number, since 2 + 538 + 49 + 8 + 9 + 60 = 666.

2538498960 is digitally balanced in base 2, because in such base 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 (54).

It is a junction number, because it is equal to n+sod(n) for n = 2538498897 and 2538498906.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1837470 + ... + 1838850.

It is an arithmetic number, because the mean of its divisors is an integer number (29303928).

Almost surely, 2^2538498960 is an apocalyptic number.

2538498960 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 2538498960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4688628480).

2538498960 is an abundant number, since it is smaller than the sum of its proper divisors (6838758000).

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

2538498960 is a wasteful number, since it uses less digits than its factorization.

2538498960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1463 (or 1451 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The square root of 2538498960 is about 50383.5187338082. The cubic root of 2538498960 is about 1364.1401661356.

The spelling of 2538498960 in words is "two billion, five hundred thirty-eight million, four hundred ninety-eight thousand, nine hundred sixty".