2632401460 has 96 divisors (see below), whose sum is σ = 6045580800. Its totient is φ = 962732160.

The previous prime is 2632401449. The next prime is 2632401463. The reversal of 2632401460 is 641042362.

It is a super-2 number, since 2×2632401460² = 13859074893220263200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2632401463) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6107445 + ... + 6107875.

It is an arithmetic number, because the mean of its divisors is an integer number (62974800).

Almost surely, 2^2632401460 is an apocalyptic number.

2632401460 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 2632401460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3022790400).

2632401460 is an abundant number, since it is smaller than the sum of its proper divisors (3413179340).

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

2632401460 is a wasteful number, since it uses less digits than its factorization.

2632401460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 618 (or 590 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

The square root of 2632401460 is about 51306.9338393945. The cubic root of 2632401460 is about 1380.7573837319.

The spelling of 2632401460 in words is "two billion, six hundred thirty-two million, four hundred one thousand, four hundred sixty".