2632828860 has 240 divisors, whose sum is σ = 9074419200. Its totient is φ = 636045696.

The previous prime is 2632828843. The next prime is 2632828867. The reversal of 2632828860 is 688282362.

2632828860 is a `hidden beast` number, since 2 + 632 + 8 + 2 + 8 + 8 + 6 + 0 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2632828867) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 706081 + ... + 709799.

It is an arithmetic number, because the mean of its divisors is an integer number (37810080).

Almost surely, 2^2632828860 is an apocalyptic number.

2632828860 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 2632828860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4537209600).

2632828860 is an abundant number, since it is smaller than the sum of its proper divisors (6441590340).

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

2632828860 is a wasteful number, since it uses less digits than its factorization.

2632828860 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3782 (or 3771 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The square root of 2632828860 is about 51311.0987993826. The cubic root of 2632828860 is about 1380.8321068544.

The spelling of 2632828860 in words is "two billion, six hundred thirty-two million, eight hundred twenty-eight thousand, eight hundred sixty".