2288002285632 has 224 divisors, whose sum is σ = 7298246292480. Its totient is φ = 617979525120.

The previous prime is 2288002285619. The next prime is 2288002285643. The reversal of 2288002285632 is 2365822008822.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×2288002285632² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11829382 + ... + 12021242.

Almost surely, 2^{2288002285632} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2288002285632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3649123146240).

2288002285632 is an abundant number, since it is smaller than the sum of its proper divisors (5010244006848).

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

2288002285632 is a wasteful number, since it uses less digits than its factorization.

2288002285632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192369 (or 192359 counting only the distinct ones).

The product of its (nonzero) digits is 1474560, while the sum is 48.

The spelling of 2288002285632 in words is "two trillion, two hundred eighty-eight billion, two million, two hundred eighty-five thousand, six hundred thirty-two".