2164933440 has 224 divisors, whose sum is σ = 7701442560. Its totient is φ = 572479488.

The previous prime is 2164933429. The next prime is 2164933457. The reversal of 2164933440 is 443394612.

It is a happy number.

2164933440 is a `hidden beast` number, since 2 + 1 + 649 + 3 + 3 + 4 + 4 + 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 = 2164933395 and 2164933404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1096294 + ... + 1098266.

It is an arithmetic number, because the mean of its divisors is an integer number (34381440).

Almost surely, 2^2164933440 is an apocalyptic number.

2164933440 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 2164933440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3850721280).

2164933440 is an abundant number, since it is smaller than the sum of its proper divisors (5536509120).

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

2164933440 is a wasteful number, since it uses less digits than its factorization.

2164933440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2126 (or 2110 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 2164933440 is about 46528.8452467929. The cubic root of 2164933440 is about 1293.6442114718.

The spelling of 2164933440 in words is "two billion, one hundred sixty-four million, nine hundred thirty-three thousand, four hundred forty".