2251758812160 has 1584 divisors, whose sum is σ = 8781414622848. Its totient is φ = 491730370560.

The previous prime is 2251758812153. The next prime is 2251758812161. The reversal of 2251758812160 is 612188571522.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2251758812161) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 21044474827 + ... + 21044474933.

Almost surely, 2^{2251758812160} is an apocalyptic number.

2251758812160 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 2251758812160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4390707311424).

2251758812160 is an abundant number, since it is smaller than the sum of its proper divisors (6529655810688).

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

2251758812160 is a wasteful number, since it uses less digits than its factorization.

2251758812160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 48.

The spelling of 2251758812160 in words is "two trillion, two hundred fifty-one billion, seven hundred fifty-eight million, eight hundred twelve thousand, one hundred sixty".