2509264648 has 64 divisors (see below), whose sum is σ = 5257897920. Its totient is φ = 1112966400.

The previous prime is 2509264633. The next prime is 2509264661. The reversal of 2509264648 is 8464629052.

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 2509264598 and 2509264607.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 917443 + ... + 920173.

It is an arithmetic number, because the mean of its divisors is an integer number (82154655).

Almost surely, 2^2509264648 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 2509264648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2628948960).

2509264648 is an abundant number, since it is smaller than the sum of its proper divisors (2748633272).

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

2509264648 is a wasteful number, since it uses less digits than its factorization.

2509264648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2998 (or 2994 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 46.

The square root of 2509264648 is about 50092.5608049738. The cubic root of 2509264648 is about 1358.8832831246.

The spelling of 2509264648 in words is "two billion, five hundred nine million, two hundred sixty-four thousand, six hundred forty-eight".