2125756600 has 192 divisors, whose sum is σ = 5762845440. Its totient is φ = 721459200.

The previous prime is 2125756547. The next prime is 2125756601. The reversal of 2125756600 is 66575212.

It is a super-2 number, since 2×2125756600² = 9037682244887120000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2125756601) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2175312 + ... + 2176288.

It is an arithmetic number, because the mean of its divisors is an integer number (30014820).

Almost surely, 2^2125756600 is an apocalyptic number.

2125756600 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 2125756600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2881422720).

2125756600 is an abundant number, since it is smaller than the sum of its proper divisors (3637088840).

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

2125756600 is a wasteful number, since it uses less digits than its factorization.

2125756600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1070 (or 1061 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 34.

The square root of 2125756600 is about 46105.9280353405. The cubic root of 2125756600 is about 1285.7933600984.

The spelling of 2125756600 in words is "two billion, one hundred twenty-five million, seven hundred fifty-six thousand, six hundred".