2516216430 has 128 divisors (see below), whose sum is σ = 7449523200. Its totient is φ = 529680384.

The previous prime is 2516216411. The next prime is 2516216459. The reversal of 2516216430 is 346126152.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1689126 + ... + 1690614.

It is an arithmetic number, because the mean of its divisors is an integer number (58199400).

Almost surely, 2^2516216430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2516216430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3724761600).

2516216430 is an abundant number, since it is smaller than the sum of its proper divisors (4933306770).

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

2516216430 is a wasteful number, since it uses less digits than its factorization.

2516216430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2138.

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 2516216430 is about 50161.9021768513. The cubic root of 2516216430 is about 1360.1370302383.

It can be divided in two parts, 2516216 and 430, that added together give a triangular number (2516646 = T₂₂₄₃).

The spelling of 2516216430 in words is "two billion, five hundred sixteen million, two hundred sixteen thousand, four hundred thirty".