1940877072 has 80 divisors (see below), whose sum is σ = 5577768000. Its totient is φ = 646177536.

The previous prime is 1940877053. The next prime is 1940877073. The reversal of 1940877072 is 2707780491.

It is a happy number.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (1940877073) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 438004 + ... + 442412.

It is an arithmetic number, because the mean of its divisors is an integer number (69722100).

Almost surely, 2^1940877072 is an apocalyptic number.

1940877072 is a gapful number since it is divisible by the number (12) 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 1940877072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2788884000).

1940877072 is an abundant number, since it is smaller than the sum of its proper divisors (3636890928).

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

1940877072 is a wasteful number, since it uses less digits than its factorization.

1940877072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5445 (or 5433 counting only the distinct ones).

The product of its (nonzero) digits is 197568, while the sum is 45.

The square root of 1940877072 is about 44055.3864130142. The cubic root of 1940877072 is about 1247.3816278246.

The spelling of 1940877072 in words is "one billion, nine hundred forty million, eight hundred seventy-seven thousand, seventy-two".