2257124760 has 384 divisors, whose sum is σ = 8525088000. Its totient is φ = 512179200.

The previous prime is 2257124759. The next prime is 2257124761. The reversal of 2257124760 is 674217522.

It is a happy number.

2257124760 is a `hidden beast` number, since 2 + 2 + 571 + 24 + 7 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (2257124759) and next prime (2257124761).

It is a super-2 number, since 2×2257124760² = 10189224364410115200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2257124761) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9856326 + ... + 9856554.

It is an arithmetic number, because the mean of its divisors is an integer number (22200750).

Almost surely, 2^2257124760 is an apocalyptic number.

2257124760 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 2257124760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4262544000).

2257124760 is an abundant number, since it is smaller than the sum of its proper divisors (6267963240).

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

2257124760 is a wasteful number, since it uses less digits than its factorization.

2257124760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 407 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 2257124760 is about 47509.2071076755. The cubic root of 2257124760 is about 1311.7523622321.

The spelling of 2257124760 in words is "two billion, two hundred fifty-seven million, one hundred twenty-four thousand, seven hundred sixty".