2196460800 has 540 divisors, whose sum is σ = 8587089280. Its totient is φ = 552407040.

The previous prime is 2196460787. The next prime is 2196460801. The reversal of 2196460800 is 80646912.

2196460800 is a `hidden beast` number, since 2 + 1 + 9 + 646 + 0 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (540).

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 (2196460801) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 9849489 + ... + 9849711.

Almost surely, 2^2196460800 is an apocalyptic number.

2196460800 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 2196460800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4293544640).

2196460800 is an abundant number, since it is smaller than the sum of its proper divisors (6390628480).

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

2196460800 is a wasteful number, since it uses less digits than its factorization.

2196460800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 2196460800 is about 46866.4144137356. The cubic root of 2196460800 is about 1299.8936402136.

The spelling of 2196460800 in words is "two billion, one hundred ninety-six million, four hundred sixty thousand, eight hundred".