2454772320 has 864 divisors, whose sum is σ = 11395448064. Its totient is φ = 467251200.

The previous prime is 2454772319. The next prime is 2454772343. The reversal of 2454772320 is 232774542.

It is a happy number.

2454772320 is a `hidden beast` number, since 24 + 547 + 72 + 3 + 20 = 666.

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 143 ways as a sum of consecutive naturals, for example, 18738655 + ... + 18738785.

It is an arithmetic number, because the mean of its divisors is an integer number (13189176).

Almost surely, 2^2454772320 is an apocalyptic number.

2454772320 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 2454772320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5697724032).

2454772320 is an abundant number, since it is smaller than the sum of its proper divisors (8940675744).

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

2454772320 is a wasteful number, since it uses less digits than its factorization.

2454772320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 36.

The square root of 2454772320 is about 49545.6589420304. The cubic root of 2454772320 is about 1348.9744969125.

The spelling of 2454772320 in words is "two billion, four hundred fifty-four million, seven hundred seventy-two thousand, three hundred twenty".