2193085440 has 528 divisors, whose sum is σ = 9370478208. Its totient is φ = 461832192.

The previous prime is 2193085439. The next prime is 2193085501. The reversal of 2193085440 is 445803912.

2193085440 is a `hidden beast` number, since 21 + 93 + 0 + 8 + 544 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 2193085395 and 2193085404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4193019 + ... + 4193541.

Almost surely, 2^2193085440 is an apocalyptic number.

2193085440 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 2193085440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4685239104).

2193085440 is an abundant number, since it is smaller than the sum of its proper divisors (7177392768).

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

2193085440 is a wasteful number, since it uses less digits than its factorization.

2193085440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 574 (or 553 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 2193085440 is about 46830.3901329041. The cubic root of 2193085440 is about 1299.2274384104.

The spelling of 2193085440 in words is "two billion, one hundred ninety-three million, eighty-five thousand, four hundred forty".