1840993920 has 320 divisors, whose sum is σ = 6964590600. Its totient is φ = 461832192.

The previous prime is 1840993919. The next prime is 1840993927. The reversal of 1840993920 is 293990481.

It can be written as a sum of positive squares in 4 ways, for example, as 1822948416 + 18045504 = 42696^2 + 4248^2 .

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×1840993920² = 6778517226953932800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (1840993927) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 880236 + ... + 882324.

Almost surely, 2^1840993920 is an apocalyptic number.

1840993920 is a gapful number since it is divisible by the number (10) 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 1840993920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3482295300).

1840993920 is an abundant number, since it is smaller than the sum of its proper divisors (5123596680).

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

1840993920 is a wasteful number, since it uses less digits than its factorization.

1840993920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2137 (or 2116 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The square root of 1840993920 is about 42906.8050546764. The cubic root of 1840993920 is about 1225.6057356907.

The spelling of 1840993920 in words is "one billion, eight hundred forty million, nine hundred ninety-three thousand, nine hundred twenty".