2132697600 has 900 divisors, whose sum is σ = 9186431562. Its totient is φ = 486604800.

The previous prime is 2132697599. The next prime is 2132697601. The reversal of 2132697600 is 67962312.

2132697600 is a `hidden beast` number, since 21 + 3 + 26 + 9 + 7 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (2132697599) and next prime (2132697601).

It can be written as a sum of positive squares in 3 ways, for example, as 1829101824 + 303595776 = 42768^2 + 17424^2 .

It is a tau number, because it is divible by the number of its divisors (900).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2132697601) by changing a digit.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 125452792 + ... + 125452808.

Almost surely, 2^2132697600 is an apocalyptic number.

2132697600 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 2132697600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4593215781).

2132697600 is an abundant number, since it is smaller than the sum of its proper divisors (7053733962).

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

2132697600 is a wasteful number, since it uses less digits than its factorization.

2132697600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 2132697600 is about 46181.1390071748. The cubic root of 2132697600 is about 1287.1912930648.

The spelling of 2132697600 in words is "two billion, one hundred thirty-two million, six hundred ninety-seven thousand, six hundred".