2120333040 has 480 divisors, whose sum is σ = 8631447552. Its totient is φ = 456192000.

The previous prime is 2120333021. The next prime is 2120333077. The reversal of 2120333040 is 403330212.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6405675 + ... + 6406005.

Almost surely, 2^2120333040 is an apocalyptic number.

2120333040 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 2120333040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4315723776).

2120333040 is an abundant number, since it is smaller than the sum of its proper divisors (6511114512).

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

2120333040 is a wasteful number, since it uses less digits than its factorization.

2120333040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 429 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 2120333040 is about 46047.0741741536. The cubic root of 2120333040 is about 1284.6989236442.

Adding to 2120333040 its reverse (403330212), we get a palindrome (2523663252).

The spelling of 2120333040 in words is "two billion, one hundred twenty million, three hundred thirty-three thousand, forty".