2136925440 has 432 divisors, whose sum is σ = 8392500480. Its totient is φ = 497664000.

The previous prime is 2136925429. The next prime is 2136925471. The reversal of 2136925440 is 445296312.

It is a happy number.

2136925440 is a `hidden beast` number, since 2 + 1 + 369 + 254 + 40 = 666.

It is a super-2 number, since 2×2136925440² = 9132900672238387200, which contains 22 as substring.

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 = 2136925395 and 2136925404.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2845065 + ... + 2845815.

Almost surely, 2^2136925440 is an apocalyptic number.

2136925440 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 2136925440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4196250240).

2136925440 is an abundant number, since it is smaller than the sum of its proper divisors (6255575040).

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

2136925440 is a wasteful number, since it uses less digits than its factorization.

2136925440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 810 (or 793 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 2136925440 is about 46226.8908753336. The cubic root of 2136925440 is about 1288.0413036663.

The spelling of 2136925440 in words is "two billion, one hundred thirty-six million, nine hundred twenty-five thousand, four hundred forty".