2402381247552 has 672 divisors, whose sum is σ = 8205477396480. Its totient is φ = 662462115840.

The previous prime is 2402381247451. The next prime is 2402381247557. The reversal of 2402381247552 is 2557421832042.

2402381247552 is a `hidden beast` number, since 2 + 40 + 2 + 3 + 8 + 12 + 47 + 552 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2402381247498 and 2402381247507.

It is not an unprimeable number, because it can be changed into a prime (2402381247557) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1872471103 + ... + 1872472385.

It is an arithmetic number, because the mean of its divisors is an integer number (12210531840).

Almost surely, 2^{2402381247552} is an apocalyptic number.

2402381247552 is a gapful number since it is divisible by the number (22) 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 2402381247552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4102738698240).

2402381247552 is an abundant number, since it is smaller than the sum of its proper divisors (5803096148928).

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

2402381247552 is a wasteful number, since it uses less digits than its factorization.

2402381247552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1631 (or 1618 counting only the distinct ones).

The product of its (nonzero) digits is 1075200, while the sum is 45.

The spelling of 2402381247552 in words is "two trillion, four hundred two billion, three hundred eighty-one million, two hundred forty-seven thousand, five hundred fifty-two".