2131693200 has 720 divisors, whose sum is σ = 9481087616. Its totient is φ = 447897600.

The previous prime is 2131693183. The next prime is 2131693211. The reversal of 2131693200 is 23961312.

2131693200 is a `hidden beast` number, since 21 + 316 + 9 + 320 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 8845080 + ... + 8845320.

Almost surely, 2^2131693200 is an apocalyptic number.

2131693200 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 2131693200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4740543808).

2131693200 is an abundant number, since it is smaller than the sum of its proper divisors (7349394416).

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

2131693200 is a wasteful number, since it uses less digits than its factorization.

2131693200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 2131693200 is about 46170.2631571448. The cubic root of 2131693200 is about 1286.9891925348.

The spelling of 2131693200 in words is "two billion, one hundred thirty-one million, six hundred ninety-three thousand, two hundred".