2257751701816 has 64 divisors (see below), whose sum is σ = 4601117052000. Its totient is φ = 1032432680448.

The previous prime is 2257751701813. The next prime is 2257751701817. The reversal of 2257751701816 is 6181071577522.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2257751701813) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5500371 + ... + 5896573.

Almost surely, 2^{2257751701816} is an apocalyptic number.

2257751701816 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 2257751701816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2300558526000).

2257751701816 is an abundant number, since it is smaller than the sum of its proper divisors (2343365350184).

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

2257751701816 is a wasteful number, since it uses less digits than its factorization.

2257751701816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 396728 (or 396724 counting only the distinct ones).

The product of its (nonzero) digits is 1646400, while the sum is 52.

The spelling of 2257751701816 in words is "two trillion, two hundred fifty-seven billion, seven hundred fifty-one million, seven hundred one thousand, eight hundred sixteen".