2251006253760 has 896 divisors, whose sum is σ = 8578124218368. Its totient is φ = 494309376000.

The previous prime is 2251006253759. The next prime is 2251006253761. The reversal of 2251006253760 is 673526001522.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2251006253759) and next prime (2251006253761).

It is not an unprimeable number, because it can be changed into a prime (2251006253761) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 353872980 + ... + 353879340.

Almost surely, 2^{2251006253760} is an apocalyptic number.

2251006253760 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 2251006253760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4289062109184).

2251006253760 is an abundant number, since it is smaller than the sum of its proper divisors (6327117964608).

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

2251006253760 is a wasteful number, since it uses less digits than its factorization.

2251006253760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6493 (or 6483 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 39.

The spelling of 2251006253760 in words is "two trillion, two hundred fifty-one billion, six million, two hundred fifty-three thousand, seven hundred sixty".