2516512890 has 64 divisors (see below), whose sum is σ = 6404935680. Its totient is φ = 630604800.

The previous prime is 2516512871. The next prime is 2516512891. The reversal of 2516512890 is 982156152.

It is not an unprimeable number, because it can be changed into a prime (2516512891) 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, 353991 + ... + 361029.

It is an arithmetic number, because the mean of its divisors is an integer number (100077120).

Almost surely, 2^2516512890 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2516512890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3202467840).

2516512890 is an abundant number, since it is smaller than the sum of its proper divisors (3888422790).

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

2516512890 is a wasteful number, since it uses less digits than its factorization.

2516512890 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7767.

The product of its (nonzero) digits is 43200, while the sum is 39.

The square root of 2516512890 is about 50164.8571212956. The cubic root of 2516512890 is about 1360.1904451438.

It can be divided in two parts, 251651 and 2890, that added together give a triangular number (254541 = T₇₁₃).

The spelling of 2516512890 in words is "two billion, five hundred sixteen million, five hundred twelve thousand, eight hundred ninety".