2251646368920 has 768 divisors, whose sum is σ = 8397459907200. Its totient is φ = 539089551360.

The previous prime is 2251646368901. The next prime is 2251646368957. The reversal of 2251646368920 is 298636461522.

2251646368920 is a `hidden beast` number, since 2 + 2 + 516 + 4 + 6 + 36 + 8 + 92 + 0 = 666.

It is a super-2 number, since 2×2251646368920² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3175805526 + ... + 3175806234.

Almost surely, 2^{2251646368920} is an apocalyptic number.

2251646368920 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 2251646368920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4198729953600).

2251646368920 is an abundant number, since it is smaller than the sum of its proper divisors (6145813538280).

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

2251646368920 is a wasteful number, since it uses less digits than its factorization.

2251646368920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1402 (or 1386 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 2251646368920 in words is "two trillion, two hundred fifty-one billion, six hundred forty-six million, three hundred sixty-eight thousand, nine hundred twenty".