2505142512 has 80 divisors (see below), whose sum is σ = 7242592000. Its totient is φ = 829020096.

The previous prime is 2505142511. The next prime is 2505142553. The reversal of 2505142512 is 2152415052.

2505142512 is a `hidden beast` number, since 2 + 5 + 0 + 5 + 142 + 512 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2505142511) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39189 + ... + 80907.

It is an arithmetic number, because the mean of its divisors is an integer number (90532400).

Almost surely, 2^2505142512 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 2505142512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3621296000).

2505142512 is an abundant number, since it is smaller than the sum of its proper divisors (4737449488).

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

2505142512 is a wasteful number, since it uses less digits than its factorization.

2505142512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41875 (or 41863 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 27.

The square root of 2505142512 is about 50051.3987017346. The cubic root of 2505142512 is about 1358.1387659573.

Adding to 2505142512 its reverse (2152415052), we get a palindrome (4657557564).

It can be divided in two parts, 2505 and 142512, that multiplied together give a triangular number (356992560 = T₂₆₇₂₀).

The spelling of 2505142512 in words is "two billion, five hundred five million, one hundred forty-two thousand, five hundred twelve".