2120413040 has 40 divisors (see below), whose sum is σ = 4963075200. Its totient is φ = 842468096.

The previous prime is 2120413027. The next prime is 2120413067. The reversal of 2120413040 is 403140212.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 77024 + ... + 100863.

It is an arithmetic number, because the mean of its divisors is an integer number (124076880).

Almost surely, 2^2120413040 is an apocalyptic number.

2120413040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2120413040 is an abundant number, since it is smaller than the sum of its proper divisors (2842662160).

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

2120413040 is a wasteful number, since it uses less digits than its factorization.

2120413040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178049 (or 178043 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 2120413040 is about 46047.9428422161. The cubic root of 2120413040 is about 1284.7150806377.

Adding to 2120413040 its reverse (403140212), we get a palindrome (2523553252).

It can be divided in two parts, 21 and 20413040, that multiplied together give a triangular number (428673840 = T₂₉₂₈₀).

The spelling of 2120413040 in words is "two billion, one hundred twenty million, four hundred thirteen thousand, forty".