2512126440 has 128 divisors (see below), whose sum is σ = 8405856000. Its totient is φ = 667332864.

The previous prime is 2512126429. The next prime is 2512126469. The reversal of 2512126440 is 446212152.

2512126440 is a `hidden beast` number, since 2 + 5 + 1 + 2 + 12 + 644 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 286197 + ... + 294843.

It is an arithmetic number, because the mean of its divisors is an integer number (65670750).

Almost surely, 2^2512126440 is an apocalyptic number.

2512126440 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 2512126440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4202928000).

2512126440 is an abundant number, since it is smaller than the sum of its proper divisors (5893729560).

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

2512126440 is a wasteful number, since it uses less digits than its factorization.

2512126440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8936 (or 8926 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 2512126440 is about 50121.1177050153. The cubic root of 2512126440 is about 1359.3996845934.

Adding to 2512126440 its reverse (446212152), we get a palindrome (2958338592).

The spelling of 2512126440 in words is "two billion, five hundred twelve million, one hundred twenty-six thousand, four hundred forty".