1940290560 has 528 divisors, whose sum is σ = 7510688640. Its totient is φ = 460062720.

The previous prime is 1940290523. The next prime is 1940290577. The reversal of 1940290560 is 650920491.

1940290560 is a `hidden beast` number, since 1 + 9 + 4 + 0 + 2 + 90 + 560 = 666.

It is a super-2 number, since 2×1940290560² = 7529454914450227200, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24560601 + ... + 24560679.

Almost surely, 2^1940290560 is an apocalyptic number.

1940290560 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 1940290560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3755344320).

1940290560 is an abundant number, since it is smaller than the sum of its proper divisors (5570398080).

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

1940290560 is a wasteful number, since it uses less digits than its factorization.

1940290560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 1940290560 is about 44048.7293800854. The cubic root of 1940290560 is about 1247.2559667665.

The spelling of 1940290560 in words is "one billion, nine hundred forty million, two hundred ninety thousand, five hundred sixty".