2297468002464 has 288 divisors, whose sum is σ = 6669185402880. Its totient is φ = 750116505600.

The previous prime is 2297468002463. The next prime is 2297468002477. The reversal of 2297468002464 is 4642008647922.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a self number, because there is not a number n which added to its sum of digits gives 2297468002464.

It is not an unprimeable number, because it can be changed into a prime (2297468002463) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1319624634 + ... + 1319626374.

It is an arithmetic number, because the mean of its divisors is an integer number (23156893760).

Almost surely, 2^{2297468002464} is an apocalyptic number.

2297468002464 is a gapful number since it is divisible by the number (24) 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 2297468002464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3334592701440).

2297468002464 is an abundant number, since it is smaller than the sum of its proper divisors (4371717400416).

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

2297468002464 is a wasteful number, since it uses less digits than its factorization.

2297468002464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2324 (or 2313 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 54.

The spelling of 2297468002464 in words is "two trillion, two hundred ninety-seven billion, four hundred sixty-eight million, two thousand, four hundred sixty-four".