2257471216 has 160 divisors (see below), whose sum is σ = 5974617600. Its totient is φ = 797783040.

The previous prime is 2257471207. The next prime is 2257471217. The reversal of 2257471216 is 6121747522.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2257471217) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 943750 + ... + 946138.

It is an arithmetic number, because the mean of its divisors is an integer number (37341360).

Almost surely, 2^2257471216 is an apocalyptic number.

2257471216 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 2257471216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2987308800).

2257471216 is an abundant number, since it is smaller than the sum of its proper divisors (3717146384).

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

2257471216 is a wasteful number, since it uses less digits than its factorization.

2257471216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2487 (or 2481 counting only the distinct ones).

The product of its digits is 47040, while the sum is 37.

The square root of 2257471216 is about 47512.8531662749. The cubic root of 2257471216 is about 1311.8194743436.

The spelling of 2257471216 in words is "two billion, two hundred fifty-seven million, four hundred seventy-one thousand, two hundred sixteen".