2634582240 has 192 divisors, whose sum is σ = 9285192000. Its totient is φ = 697669632.

The previous prime is 2634582239. The next prime is 2634582271. The reversal of 2634582240 is 422854362.

2634582240 is a `hidden beast` number, since 2 + 6 + 34 + 582 + 2 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2634582195 and 2634582204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 641634 + ... + 645726.

It is an arithmetic number, because the mean of its divisors is an integer number (48360375).

Almost surely, 2^2634582240 is an apocalyptic number.

2634582240 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 2634582240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4642596000).

2634582240 is an abundant number, since it is smaller than the sum of its proper divisors (6650609760).

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

2634582240 is a wasteful number, since it uses less digits than its factorization.

2634582240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4266 (or 4252 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The square root of 2634582240 is about 51328.1817328454. The cubic root of 2634582240 is about 1381.1385688721.

The spelling of 2634582240 in words is "two billion, six hundred thirty-four million, five hundred eighty-two thousand, two hundred forty".