2196149760 has 800 divisors, whose sum is σ = 9625366080. Its totient is φ = 467140608.

The previous prime is 2196149701. The next prime is 2196149783. The reversal of 2196149760 is 679416912.

2196149760 is a `hidden beast` number, since 21 + 9 + 614 + 9 + 7 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 24675796 + ... + 24675884.

Almost surely, 2^2196149760 is an apocalyptic number.

2196149760 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 2196149760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4812683040).

2196149760 is an abundant number, since it is smaller than the sum of its proper divisors (7429216320).

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

2196149760 is an equidigital number, since it uses as much as digits as its factorization.

2196149760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The square root of 2196149760 is about 46863.0959284595. The cubic root of 2196149760 is about 1299.8322781648.

The spelling of 2196149760 in words is "two billion, one hundred ninety-six million, one hundred forty-nine thousand, seven hundred sixty".