2512152000000 has 1680 divisors, whose sum is σ = 9949187023776. Its totient is φ = 608256000000.

The previous prime is 2512151999993. The next prime is 2512152000031. The reversal of 2512152000000 is 2512152.

2512152000000 is a `hidden beast` number, since 2 + 512 + 152 + 0 + 0 + 0 + 0 + 0 + 0 = 666.

It is a super-3 number, since 3×2512152000000³ (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 61271999980 + ... + 61272000020.

Almost surely, 2^{2512152000000} is an apocalyptic number.

2512152000000 is a gapful number since it is divisible by the number (20) 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 2512152000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4974593511888).

2512152000000 is an abundant number, since it is smaller than the sum of its proper divisors (7437035023776).

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

2512152000000 is an frugal number, since it uses more digits than its factorization.

2512152000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

Adding to 2512152000000 its reverse (2512152), we get a palindrome (2512154512152).

2512152000000 divided by its reverse (2512152) gives a 6-th power (1000000 = 10⁶).

The spelling of 2512152000000 in words is "two trillion, five hundred twelve billion, one hundred fifty-two million", and thus it is an aban number.