2257776240 has 80 divisors (see below), whose sum is σ = 7022133888. Its totient is φ = 600092928.

The previous prime is 2257776229. The next prime is 2257776259. The reversal of 2257776240 is 426777522.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×2257776240³ (a number of 29 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 2257776192 and 2257776201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58359 + ... + 89001.

Almost surely, 2^2257776240 is an apocalyptic number.

2257776240 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 2257776240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3511066944).

2257776240 is an abundant number, since it is smaller than the sum of its proper divisors (4764357648).

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

2257776240 is a wasteful number, since it uses less digits than its factorization.

2257776240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30966 (or 30960 counting only the distinct ones).

The product of its (nonzero) digits is 329280, while the sum is 42.

The square root of 2257776240 is about 47516.0629682216. The cubic root of 2257776240 is about 1311.8785549644.

The spelling of 2257776240 in words is "two billion, two hundred fifty-seven million, seven hundred seventy-six thousand, two hundred forty".