2632915040 has 144 divisors (see below), whose sum is σ = 7413202944. Its totient is φ = 880588800.

The previous prime is 2632915037. The next prime is 2632915057. The reversal of 2632915040 is 405192362.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 2632914988 and 2632915006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 317345 + ... + 325535.

It is an arithmetic number, because the mean of its divisors is an integer number (51480576).

Almost surely, 2^2632915040 is an apocalyptic number.

2632915040 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 2632915040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3706601472).

2632915040 is an abundant number, since it is smaller than the sum of its proper divisors (4780287904).

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

2632915040 is a wasteful number, since it uses less digits than its factorization.

2632915040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8261 (or 8246 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 32.

The square root of 2632915040 is about 51311.9385718373. The cubic root of 2632915040 is about 1380.8471728814.

The spelling of 2632915040 in words is "two billion, six hundred thirty-two million, nine hundred fifteen thousand, forty".