2462274720 has 192 divisors, whose sum is σ = 8672106240. Its totient is φ = 652483584.

The previous prime is 2462274719. The next prime is 2462274751. The reversal of 2462274720 is 274722642.

2462274720 is a `hidden beast` number, since 2 + 4 + 622 + 7 + 4 + 7 + 20 = 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 31 ways as a sum of consecutive naturals, for example, 719734 + ... + 723146.

It is an arithmetic number, because the mean of its divisors is an integer number (45167220).

Almost surely, 2^2462274720 is an apocalyptic number.

2462274720 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 2462274720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4336053120).

2462274720 is an abundant number, since it is smaller than the sum of its proper divisors (6209831520).

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

2462274720 is a wasteful number, since it uses less digits than its factorization.

2462274720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3604 (or 3590 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 36.

The square root of 2462274720 is about 49621.3131627933. The cubic root of 2462274720 is about 1350.3473674016.

The spelling of 2462274720 in words is "two billion, four hundred sixty-two million, two hundred seventy-four thousand, seven hundred twenty".