2509914816 has 224 divisors, whose sum is σ = 7998439680. Its totient is φ = 768724992.

The previous prime is 2509914793. The next prime is 2509914851. The reversal of 2509914816 is 6184199052.

2509914816 is a `hidden beast` number, since 2 + 509 + 91 + 48 + 16 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1262175 + ... + 1264161.

It is an arithmetic number, because the mean of its divisors is an integer number (35707320).

Almost surely, 2^2509914816 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 2509914816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3999219840).

2509914816 is an abundant number, since it is smaller than the sum of its proper divisors (5488524864).

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

2509914816 is a wasteful number, since it uses less digits than its factorization.

2509914816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2068 (or 2052 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The square root of 2509914816 is about 50099.0500508742. The cubic root of 2509914816 is about 1359.0006383733. Note that the first 3 decimals are identical.

The spelling of 2509914816 in words is "two billion, five hundred nine million, nine hundred fourteen thousand, eight hundred sixteen".