2450746368 has 462 divisors, whose sum is σ = 8672049996. Its totient is φ = 689762304.

The previous prime is 2450746351. The next prime is 2450746421. The reversal of 2450746368 is 8636470542.

2450746368 is a `hidden beast` number, since 2 + 4 + 5 + 0 + 7 + 4 + 636 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 36578271 + ... + 36578337.

Almost surely, 2^2450746368 is an apocalyptic number.

2450746368 is a gapful number since it is divisible by the number (28) 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 2450746368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4336024998).

2450746368 is an abundant number, since it is smaller than the sum of its proper divisors (6221303628).

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

2450746368 is an frugal number, since it uses more digits than its factorization.

2450746368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The square root of 2450746368 is about 49505.0135642846. The cubic root of 2450746368 is about 1348.2366310250.

The spelling of 2450746368 in words is "two billion, four hundred fifty million, seven hundred forty-six thousand, three hundred sixty-eight".