2086157600 has 72 divisors (see below), whose sum is σ = 5140639728. Its totient is φ = 826630400.

The previous prime is 2086157561. The next prime is 2086157609. The reversal of 2086157600 is 67516802.

It is not an unprimeable number, because it can be changed into a prime (2086157609) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 73415 + ... + 97785.

It is an arithmetic number, because the mean of its divisors is an integer number (71397774).

Almost surely, 2^2086157600 is an apocalyptic number.

2086157600 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 2086157600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2570319864).

2086157600 is an abundant number, since it is smaller than the sum of its proper divisors (3054482128).

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

2086157600 is a wasteful number, since it uses less digits than its factorization.

2086157600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24498 (or 24485 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 35.

The square root of 2086157600 is about 45674.4742717418. The cubic root of 2086157600 is about 1277.7592633038.

The spelling of 2086157600 in words is "two billion, eighty-six million, one hundred fifty-seven thousand, six hundred".