2259502632464 has 320 divisors, whose sum is σ = 5732393103360. Its totient is φ = 837236736000.

The previous prime is 2259502632463. The next prime is 2259502632511. The reversal of 2259502632464 is 4642362059522.

It is a super-2 number, since 2×2259502632464² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2259502632463) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2191563629 + ... + 2191564659.

It is an arithmetic number, because the mean of its divisors is an integer number (17913728448).

Almost surely, 2^{2259502632464} 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 2259502632464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2866196551680).

2259502632464 is an abundant number, since it is smaller than the sum of its proper divisors (3472890470896).

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

2259502632464 is a wasteful number, since it uses less digits than its factorization.

2259502632464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2150 (or 2144 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 50.

The spelling of 2259502632464 in words is "two trillion, two hundred fifty-nine billion, five hundred two million, six hundred thirty-two thousand, four hundred sixty-four".