2509670400 has 144 divisors (see below), whose sum is σ = 8297125200. Its totient is φ = 669204480.

The previous prime is 2509670381. The next prime is 2509670417. The reversal of 2509670400 is 40769052.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 145431 + ... + 161769.

It is an arithmetic number, because the mean of its divisors is an integer number (57618925).

Almost surely, 2^2509670400 is an apocalyptic number.

2509670400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2509670400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4148562600).

2509670400 is an abundant number, since it is smaller than the sum of its proper divisors (5787454800).

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

2509670400 is a wasteful number, since it uses less digits than its factorization.

2509670400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16374 (or 16349 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 2509670400 is about 50096.6106637964. The cubic root of 2509670400 is about 1358.9565236912.

The spelling of 2509670400 in words is "two billion, five hundred nine million, six hundred seventy thousand, four hundred".