2450972160 has 720 divisors, whose sum is σ = 10697502816. Its totient is φ = 514031616.

The previous prime is 2450972101. The next prime is 2450972171. The reversal of 2450972160 is 612790542.

2450972160 is a `hidden beast` number, since 24 + 509 + 72 + 1 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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 71 ways as a sum of consecutive naturals, for example, 14676397 + ... + 14676563.

Almost surely, 2^2450972160 is an apocalyptic number.

2450972160 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 2450972160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5348751408).

2450972160 is an abundant number, since it is smaller than the sum of its proper divisors (8246530656).

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

2450972160 is a wasteful number, since it uses less digits than its factorization.

2450972160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 2450972160 is about 49507.2940080550. The cubic root of 2450972160 is about 1348.2780349691.

It can be divided in two parts, 24509 and 72160, that added together give a palindrome (96669).

The spelling of 2450972160 in words is "two billion, four hundred fifty million, nine hundred seventy-two thousand, one hundred sixty".