2447252468640 has 960 divisors, whose sum is σ = 10404202152960. Its totient is φ = 529862860800.

The previous prime is 2447252468623. The next prime is 2447252468657. The reversal of 2447252468640 is 468642527442.

2447252468640 is a `hidden beast` number, since 2 + 4 + 4 + 72 + 52 + 468 + 64 + 0 = 666.

2447252468640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2447252468623) and next prime (2447252468657).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 139427865 + ... + 139445415.

It is an arithmetic number, because the mean of its divisors is an integer number (10837710576).

Almost surely, 2^{2447252468640} is an apocalyptic number.

2447252468640 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 2447252468640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5202101076480).

2447252468640 is an abundant number, since it is smaller than the sum of its proper divisors (7956949684320).

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

2447252468640 is a wasteful number, since it uses less digits than its factorization.

2447252468640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17667 (or 17650 counting only the distinct ones).

The product of its (nonzero) digits is 20643840, while the sum is 54.

The spelling of 2447252468640 in words is "two trillion, four hundred forty-seven billion, two hundred fifty-two million, four hundred sixty-eight thousand, six hundred forty".