2454664320 has 384 divisors, whose sum is σ = 8936179200. Its totient is φ = 620052480.

The previous prime is 2454664319. The next prime is 2454664337. The reversal of 2454664320 is 234664542.

2454664320 is a `hidden beast` number, since 2 + 4 + 5 + 4 + 6 + 643 + 2 + 0 = 666.

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

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 an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10534924 + ... + 10535156.

It is an arithmetic number, because the mean of its divisors is an integer number (23271300).

Almost surely, 2^2454664320 is an apocalyptic number.

2454664320 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 2454664320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4468089600).

2454664320 is an abundant number, since it is smaller than the sum of its proper divisors (6481514880).

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

2454664320 is a wasteful number, since it uses less digits than its factorization.

2454664320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

The square root of 2454664320 is about 49544.5690262818. The cubic root of 2454664320 is about 1348.9547134916.

The spelling of 2454664320 in words is "two billion, four hundred fifty-four million, six hundred sixty-four thousand, three hundred twenty".