2381247590400 has 2496 divisors, whose sum is σ = 10660619264000. Its totient is φ = 526727577600.

The previous prime is 2381247590399. The next prime is 2381247590461. The reversal of 2381247590400 is 40957421832.

2381247590400 is a `hidden beast` number, since 2 + 3 + 8 + 12 + 4 + 7 + 590 + 40 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 76814438385 + ... + 76814438415.

Almost surely, 2^{2381247590400} is an apocalyptic number.

2381247590400 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 2381247590400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5330309632000).

2381247590400 is an abundant number, since it is smaller than the sum of its proper divisors (8279371673600).

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

2381247590400 is an frugal number, since it uses more digits than its factorization.

2381247590400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 2381247590400 in words is "two trillion, three hundred eighty-one billion, two hundred forty-seven million, five hundred ninety thousand, four hundred".