2510405248 has 128 divisors (see below), whose sum is σ = 5709715200. Its totient is φ = 1089884160.

The previous prime is 2510405239. The next prime is 2510405273. The reversal of 2510405248 is 8425040152.

It is a tau number, because it is divible by the number of its divisors (128).

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, 8567790 + ... + 8568082.

It is an arithmetic number, because the mean of its divisors is an integer number (44607150).

Almost surely, 2^2510405248 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 2510405248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2854857600).

2510405248 is an abundant number, since it is smaller than the sum of its proper divisors (3199309952).

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

2510405248 is a wasteful number, since it uses less digits than its factorization.

2510405248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 610 (or 598 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 31.

The square root of 2510405248 is about 50103.9444355432. The cubic root of 2510405248 is about 1359.0891478837.

The spelling of 2510405248 in words is "two billion, five hundred ten million, four hundred five thousand, two hundred forty-eight".