2510261632 has 48 divisors (see below), whose sum is σ = 5044088700. Its totient is φ = 1244348160.

The previous prime is 2510261617. The next prime is 2510261657. The reversal of 2510261632 is 2361620152.

It is a super-2 number, since 2×2510261632² = 12602826922182606848, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2510261632.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7583707 + ... + 7584037.

Almost surely, 2^2510261632 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 2510261632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2522044350).

2510261632 is an abundant number, since it is smaller than the sum of its proper divisors (2533827068).

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

2510261632 is an frugal number, since it uses more digits than its factorization.

2510261632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 855 (or 512 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 2510261632 is about 50102.5112344681. The cubic root of 2510261632 is about 1359.0632303326.

Adding to 2510261632 its reverse (2361620152), we get a palindrome (4871881784).

The spelling of 2510261632 in words is "two billion, five hundred ten million, two hundred sixty-one thousand, six hundred thirty-two".