2512333440 has 192 divisors, whose sum is σ = 9186077160. Its totient is φ = 630521856.

The previous prime is 2512333433. The next prime is 2512333459. The reversal of 2512333440 is 443332152.

It can be written as a sum of positive squares in 4 ways, for example, as 2099105856 + 413227584 = 45816^2 + 20328^2 .

It is a tau number, because it is divible by the number of its divisors (192).

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, 85092 + ... + 110748.

Almost surely, 2^2512333440 is an apocalyptic number.

2512333440 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 2512333440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4593038580).

2512333440 is an abundant number, since it is smaller than the sum of its proper divisors (6673743720).

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

2512333440 is a wasteful number, since it uses less digits than its factorization.

2512333440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25699 (or 25684 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 2512333440 is about 50123.1826603220. The cubic root of 2512333440 is about 1359.4370218868.

Adding to 2512333440 its reverse (443332152), we get a palindrome (2955665592).

The spelling of 2512333440 in words is "two billion, five hundred twelve million, three hundred thirty-three thousand, four hundred forty".