1927981440 has 1152 divisors, whose sum is σ = 9142398720. Its totient is φ = 383201280.

The previous prime is 1927981403. The next prime is 1927981487. The reversal of 1927981440 is 441897291.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×1927981440² = 7434224865968947200, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 83825269 + ... + 83825291.

It is an arithmetic number, because the mean of its divisors is an integer number (7936110).

Almost surely, 2^1927981440 is an apocalyptic number.

1927981440 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 1927981440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4571199360).

1927981440 is an abundant number, since it is smaller than the sum of its proper divisors (7214417280).

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

1927981440 is a wasteful number, since it uses less digits than its factorization.

1927981440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 1927981440 is about 43908.7854534830. The cubic root of 1927981440 is about 1244.6128568371.

The spelling of 1927981440 in words is "one billion, nine hundred twenty-seven million, nine hundred eighty-one thousand, four hundred forty".