2152040402512 has 270 divisors, whose sum is σ = 5745803209902. Its totient is φ = 773374694400.

The previous prime is 2152040402497. The next prime is 2152040402531.

It is a happy number.

2152040402512 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 3 ways, for example, as 907530590736 + 1244509811776 = 952644^2 + 1115576^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 1629098812 + ... + 1629100132.

Almost surely, 2^{2152040402512} is an apocalyptic number.

2152040402512 is a gapful number since it is divisible by the number (22) 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 2152040402512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2872901604951).

2152040402512 is an abundant number, since it is smaller than the sum of its proper divisors (3593762807390).

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

2152040402512 is a wasteful number, since it uses less digits than its factorization.

2152040402512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2699 (or 1354 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 28.

It can be divided in two parts, 2152040 and 402512, that added together give a palindrome (2554552).

The spelling of 2152040402512 in words is "two trillion, one hundred fifty-two billion, forty million, four hundred two thousand, five hundred twelve".