2450027664 has 120 divisors (see below), whose sum is σ = 7848247680. Its totient is φ = 698932224.

The previous prime is 2450027653. The next prime is 2450027683. The reversal of 2450027664 is 4667200542.

2450027664 is a `hidden beast` number, since 24 + 500 + 2 + 76 + 64 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 844264 + ... + 847160.

It is an arithmetic number, because the mean of its divisors is an integer number (65402064).

Almost surely, 2^2450027664 is an apocalyptic number.

2450027664 is a gapful number since it is divisible by the number (24) 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 2450027664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3924123840).

2450027664 is an abundant number, since it is smaller than the sum of its proper divisors (5398220016).

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

2450027664 is a wasteful number, since it uses less digits than its factorization.

2450027664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3757 (or 3748 counting only the distinct ones).

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

The square root of 2450027664 is about 49497.7541308694. The cubic root of 2450027664 is about 1348.1048238595.

The spelling of 2450027664 in words is "two billion, four hundred fifty million, twenty-seven thousand, six hundred sixty-four".