2090333440 has 72 divisors (see below), whose sum is σ = 5392198728. Its totient is φ = 771809280.

The previous prime is 2090333411. The next prime is 2090333467. The reversal of 2090333440 is 443330902.

It can be written as a sum of positive squares in 4 ways, for example, as 746496 + 2089586944 = 864^2 + 45712^2 .

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 2090333399 and 2090333408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 46171 + ... + 79450.

It is an arithmetic number, because the mean of its divisors is an integer number (74891649).

Almost surely, 2^2090333440 is an apocalyptic number.

2090333440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2090333440 is an abundant number, since it is smaller than the sum of its proper divisors (3301865288).

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

2090333440 is a wasteful number, since it uses less digits than its factorization.

2090333440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125655 (or 125641 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 28.

The square root of 2090333440 is about 45720.1644791442. The cubic root of 2090333440 is about 1278.6112542313.

The spelling of 2090333440 in words is "two billion, ninety million, three hundred thirty-three thousand, four hundred forty".