2193787440 has 360 divisors, whose sum is σ = 8438761968. Its totient is φ = 507617280.

The previous prime is 2193787399. The next prime is 2193787441. The reversal of 2193787440 is 447873912.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is not an unprimeable number, because it can be changed into a prime (2193787441) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2704635 + ... + 2705445.

Almost surely, 2^2193787440 is an apocalyptic number.

2193787440 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 2193787440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4219380984).

2193787440 is an abundant number, since it is smaller than the sum of its proper divisors (6244974528).

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

2193787440 is a wasteful number, since it uses less digits than its factorization.

2193787440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 877 (or 851 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 2193787440 is about 46837.8846661546. The cubic root of 2193787440 is about 1299.3660498763.

The spelling of 2193787440 in words is "two billion, one hundred ninety-three million, seven hundred eighty-seven thousand, four hundred forty".