2125617000 has 128 divisors (see below), whose sum is σ = 7142204160. Its totient is φ = 523219200.

The previous prime is 2125616989. The next prime is 2125617007. The reversal of 2125617000 is 7165212.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (2125617007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11749 + ... + 66251.

It is an arithmetic number, because the mean of its divisors is an integer number (55798470).

Almost surely, 2^2125617000 is an apocalyptic number.

2125617000 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 2125617000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3571102080).

2125617000 is an abundant number, since it is smaller than the sum of its proper divisors (5016587160).

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

2125617000 is a wasteful number, since it uses less digits than its factorization.

2125617000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54540 (or 54526 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 24.

The square root of 2125617000 is about 46104.4141053761. The cubic root of 2125617000 is about 1285.7652131503.

The spelling of 2125617000 in words is "two billion, one hundred twenty-five million, six hundred seventeen thousand".