2251431936 has 392 divisors, whose sum is σ = 7520779980. Its totient is φ = 668860416.

The previous prime is 2251431857. The next prime is 2251431937. The reversal of 2251431936 is 6391341522.

2251431936 is a `hidden beast` number, since 22 + 514 + 31 + 93 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2176782336 + 74649600 = 46656^2 + 8640^2 .

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

It is a nialpdrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 2251431936.

It is not an unprimeable number, because it can be changed into a prime (2251431937) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 77635570 + ... + 77635598.

Almost surely, 2^2251431936 is an apocalyptic number.

2251431936 is a gapful number since it is divisible by the number (26) 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 2251431936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3760389990).

2251431936 is an abundant number, since it is smaller than the sum of its proper divisors (5269348044).

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

2251431936 is an frugal number, since it uses more digits than its factorization.

2251431936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 47 counting only the distinct ones).

The product of its digits is 38880, while the sum is 36.

The square root of 2251431936 is about 47449.2564325301. The cubic root of 2251431936 is about 1310.6486184474.

The spelling of 2251431936 in words is "two billion, two hundred fifty-one million, four hundred thirty-one thousand, nine hundred thirty-six".