2257075526272 has 192 divisors, whose sum is σ = 5318776944000. Its totient is φ = 934498344960.

The previous prime is 2257075526267. The next prime is 2257075526291. The reversal of 2257075526272 is 2726255707522.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 155128854 + ... + 155143402.

It is an arithmetic number, because the mean of its divisors is an integer number (27701963250).

Almost surely, 2^{2257075526272} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2257075526272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2659388472000).

2257075526272 is an abundant number, since it is smaller than the sum of its proper divisors (3061701417728).

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

2257075526272 is a wasteful number, since it uses less digits than its factorization.

2257075526272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14755 (or 14702 counting only the distinct ones).

The product of its (nonzero) digits is 8232000, while the sum is 52.

The spelling of 2257075526272 in words is "two trillion, two hundred fifty-seven billion, seventy-five million, five hundred twenty-six thousand, two hundred seventy-two".