2538472320 has 384 divisors, whose sum is σ = 9245190240. Its totient is φ = 640991232.

The previous prime is 2538472309. The next prime is 2538472331. The reversal of 2538472320 is 232748352.

2538472320 is a `hidden beast` number, since 253 + 84 + 7 + 2 + 320 = 666.

It is an interprime number because it is at equal distance from previous prime (2538472309) and next prime (2538472331).

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9164022 + ... + 9164298.

Almost surely, 2^2538472320 is an apocalyptic number.

2538472320 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 2538472320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4622595120).

2538472320 is an abundant number, since it is smaller than the sum of its proper divisors (6706717920).

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

2538472320 is a wasteful number, since it uses less digits than its factorization.

2538472320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 382 (or 367 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 2538472320 is about 50383.2543609481. The cubic root of 2538472320 is about 1364.1353941789.

The spelling of 2538472320 in words is "two billion, five hundred thirty-eight million, four hundred seventy-two thousand, three hundred twenty".