2136257200 has 240 divisors, whose sum is σ = 6551652096. Its totient is φ = 649958400.

The previous prime is 2136257173. The next prime is 2136257231. The reversal of 2136257200 is 27526312.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1323594 + ... + 1325206.

Almost surely, 2^2136257200 is an apocalyptic number.

2136257200 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 2136257200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3275826048).

2136257200 is an abundant number, since it is smaller than the sum of its proper divisors (4415394896).

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

2136257200 is a wasteful number, since it uses less digits than its factorization.

2136257200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1692 (or 1681 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 28.

The square root of 2136257200 is about 46219.6624825409. The cubic root of 2136257200 is about 1287.9070281258.

The spelling of 2136257200 in words is "two billion, one hundred thirty-six million, two hundred fifty-seven thousand, two hundred".