2510825464 has 48 divisors (see below), whose sum is σ = 5526754200. Its totient is φ = 1066177728.

The previous prime is 2510825419. The next prime is 2510825467. The reversal of 2510825464 is 4645280152.

2510825464 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2510825467) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13347 + ... + 72109.

Almost surely, 2^2510825464 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 2510825464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2763377100).

2510825464 is an abundant number, since it is smaller than the sum of its proper divisors (3015928736).

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

2510825464 is a wasteful number, since it uses less digits than its factorization.

2510825464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58892 (or 58881 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 37.

The square root of 2510825464 is about 50108.1377023733. The cubic root of 2510825464 is about 1359.1649761645.

The spelling of 2510825464 in words is "two billion, five hundred ten million, eight hundred twenty-five thousand, four hundred sixty-four".