2125146400 has 144 divisors (see below), whose sum is σ = 5617468584. Its totient is φ = 780410880.

The previous prime is 2125146391. The next prime is 2125146403. The reversal of 2125146400 is 46415212.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 15397776 + 2109748624 = 3924^2 + 45932^2 .

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

It is not an unprimeable number, because it can be changed into a prime (2125146403) 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, 2422762 + ... + 2423638.

Almost surely, 2^2125146400 is an apocalyptic number.

2125146400 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 2125146400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2808734292).

2125146400 is an abundant number, since it is smaller than the sum of its proper divisors (3492322184).

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

2125146400 is a wasteful number, since it uses less digits than its factorization.

2125146400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1143 (or 1130 counting only the distinct ones).

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

The square root of 2125146400 is about 46099.3101900668. The cubic root of 2125146400 is about 1285.6703190139.

The spelling of 2125146400 in words is "two billion, one hundred twenty-five million, one hundred forty-six thousand, four hundred".