2251891021824 has 288 divisors, whose sum is σ = 7013208711600. Its totient is φ = 693774581760.

The previous prime is 2251891021817. The next prime is 2251891021837. The reversal of 2251891021824 is 4281201981522.

2251891021824 is a `hidden beast` number, since 2 + 2 + 518 + 9 + 102 + 1 + 8 + 24 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a self number, because there is not a number n which added to its sum of digits gives 2251891021824.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14280112 + ... + 14436944.

Almost surely, 2^{2251891021824} is an apocalyptic number.

2251891021824 is a gapful number since it is divisible by the number (24) 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 2251891021824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3506604355800).

2251891021824 is an abundant number, since it is smaller than the sum of its proper divisors (4761317689776).

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

2251891021824 is a wasteful number, since it uses less digits than its factorization.

2251891021824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156921 (or 156898 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 45.

The spelling of 2251891021824 in words is "two trillion, two hundred fifty-one billion, eight hundred ninety-one million, twenty-one thousand, eight hundred twenty-four".