2512104012152 has 128 divisors (see below), whose sum is σ = 5477698068480. Its totient is φ = 1057882560000.

The previous prime is 2512104012151. The next prime is 2512104012203.

It is a happy number.

2512104012152 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×2512104012152² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2512104012151) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 480231377 + ... + 480236607.

It is an arithmetic number, because the mean of its divisors is an integer number (42794516160).

Almost surely, 2^{2512104012152} 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 2512104012152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2738849034240).

2512104012152 is an abundant number, since it is smaller than the sum of its proper divisors (2965594056328).

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

2512104012152 is a wasteful number, since it uses less digits than its factorization.

2512104012152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5973 (or 5969 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 26.

The spelling of 2512104012152 in words is "two trillion, five hundred twelve billion, one hundred four million, twelve thousand, one hundred fifty-two".