2454952320 has 512 divisors, whose sum is σ = 9425289600. Its totient is φ = 601620480.

The previous prime is 2454952319. The next prime is 2454952343. The reversal of 2454952320 is 232594542.

2454952320 is a `hidden beast` number, since 245 + 4 + 95 + 2 + 320 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 63 ways as a sum of consecutive naturals, for example, 17919292 + ... + 17919428.

Almost surely, 2^2454952320 is an apocalyptic number.

2454952320 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 2454952320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4712644800).

2454952320 is an abundant number, since it is smaller than the sum of its proper divisors (6970337280).

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

2454952320 is a wasteful number, since it uses less digits than its factorization.

2454952320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 2454952320 is about 49547.4754149997. The cubic root of 2454952320 is about 1349.0074679913.

The spelling of 2454952320 in words is "two billion, four hundred fifty-four million, nine hundred fifty-two thousand, three hundred twenty".