2632641520 has 80 divisors (see below), whose sum is σ = 6651002880. Its totient is φ = 965433600.

The previous prime is 2632641499. The next prime is 2632641523. The reversal of 2632641520 is 251462362.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2632641523) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19185 + ... + 75055.

It is an arithmetic number, because the mean of its divisors is an integer number (83137536).

Almost surely, 2^2632641520 is an apocalyptic number.

2632641520 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 2632641520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3325501440).

2632641520 is an abundant number, since it is smaller than the sum of its proper divisors (4018361360).

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

2632641520 is a wasteful number, since it uses less digits than its factorization.

2632641520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55934 (or 55928 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 31.

The square root of 2632641520 is about 51309.2732359366. The cubic root of 2632641520 is about 1380.7993548556.

The spelling of 2632641520 in words is "two billion, six hundred thirty-two million, six hundred forty-one thousand, five hundred twenty".