2512461400 has 96 divisors (see below), whose sum is σ = 6074499600. Its totient is φ = 965260800.

The previous prime is 2512461397. The next prime is 2512461403. The reversal of 2512461400 is 41642152.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2512461397) and next prime (2512461403).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2512461403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1222774 + ... + 1224826.

Almost surely, 2^2512461400 is an apocalyptic number.

2512461400 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 2512461400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3037249800).

2512461400 is an abundant number, since it is smaller than the sum of its proper divisors (3562038200).

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

2512461400 is a wasteful number, since it uses less digits than its factorization.

2512461400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2309 (or 2300 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 2512461400 is about 50124.4590993259. The cubic root of 2512461400 is about 1359.4601014411.

The spelling of 2512461400 in words is "two billion, five hundred twelve million, four hundred sixty-one thousand, four hundred".