2516893470 has 192 divisors, whose sum is σ = 8332571520. Its totient is φ = 512676864.

The previous prime is 2516893453. The next prime is 2516893541. The reversal of 2516893470 is 743986152.

2516893470 is a `hidden beast` number, since 2 + 516 + 8 + 93 + 47 + 0 = 666.

2516893470 is digitally balanced in base 2, base 4 and base 10, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

2516893470 is strictly pandigital in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 232212 + ... + 242808.

It is an arithmetic number, because the mean of its divisors is an integer number (43398810).

It is a 1-persistent number, because it is pandigital, but 2⋅2516893470 = 5033786940 is not.

Almost surely, 2^2516893470 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2516893470, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4166285760).

2516893470 is an abundant number, since it is smaller than the sum of its proper divisors (5815678050).

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

2516893470 is a wasteful number, since it uses less digits than its factorization.

2516893470 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10659 (or 10656 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 2516893470 is about 50168.6502708614. The cubic root of 2516893470 is about 1360.2590102852.

The spelling of 2516893470 in words is "two billion, five hundred sixteen million, eight hundred ninety-three thousand, four hundred seventy".