2397951864000 has 3360 divisors, whose sum is σ = 11845339938432. Its totient is φ = 467140608000.

The previous prime is 2397951863953. The next prime is 2397951864023. The reversal of 2397951864000 is 4681597932.

2397951864000 is a `hidden beast` number, since 23 + 97 + 9 + 51 + 86 + 400 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3360).

It is a super-2 number, since 2×2397951864000² (a number of 26 digits) contains 22 as substring.

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 479 ways as a sum of consecutive naturals, for example, 9330551872 + ... + 9330552128.

It is a 1-persistent number, because it is pandigital, but 2⋅2397951864000 = 4795903728000 is not.

Almost surely, 2^{2397951864000} is an apocalyptic number.

2397951864000 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 2397951864000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5922669969216).

2397951864000 is an abundant number, since it is smaller than the sum of its proper divisors (9447388074432).

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

2397951864000 is a wasteful number, since it uses less digits than its factorization.

2397951864000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 2397951864000 in words is "two trillion, three hundred ninety-seven billion, nine hundred fifty-one million, eight hundred sixty-four thousand".