2040685920 has 768 divisors, whose sum is σ = 9144576000. Its totient is φ = 413392896.

The previous prime is 2040685919. The next prime is 2040685921. The reversal of 2040685920 is 295860402.

It is a happy number.

2040685920 is a `hidden beast` number, since 2 + 0 + 4 + 0 + 68 + 592 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2040685919) and next prime (2040685921).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2040685921) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 11400391 + ... + 11400569.

It is an arithmetic number, because the mean of its divisors is an integer number (11907000).

Almost surely, 2^2040685920 is an apocalyptic number.

2040685920 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 2040685920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4572288000).

2040685920 is an abundant number, since it is smaller than the sum of its proper divisors (7103890080).

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

2040685920 is a wasteful number, since it uses less digits than its factorization.

2040685920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 238 counting only the distinct ones).

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

The square root of 2040685920 is about 45173.9517864001. The cubic root of 2040685920 is about 1268.4072703161.

The spelling of 2040685920 in words is "two billion, forty million, six hundred eighty-five thousand, nine hundred twenty".