2636245440 has 560 divisors, whose sum is σ = 10156972320. Its totient is φ = 646963200.

The previous prime is 2636245433. The next prime is 2636245457. The reversal of 2636245440 is 445426362.

2636245440 is a `hidden beast` number, since 26 + 3 + 624 + 5 + 4 + 4 + 0 = 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 = 2636245395 and 2636245404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 26101390 + ... + 26101490.

Almost surely, 2^2636245440 is an apocalyptic number.

2636245440 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 2636245440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5078486160).

2636245440 is an abundant number, since it is smaller than the sum of its proper divisors (7520726880).

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

2636245440 is a wasteful number, since it uses less digits than its factorization.

2636245440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

The square root of 2636245440 is about 51344.3808025766. The cubic root of 2636245440 is about 1381.4291432710.

The spelling of 2636245440 in words is "two billion, six hundred thirty-six million, two hundred forty-five thousand, four hundred forty".