1981453760 has 448 divisors, whose sum is σ = 6083320320. Its totient is φ = 603832320.

The previous prime is 1981453759. The next prime is 1981453769. The reversal of 1981453760 is 673541891.

It is a super-3 number, since 3×1981453760³ (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1981453769) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 37385894 + ... + 37385946.

It is an arithmetic number, because the mean of its divisors is an integer number (13578840).

Almost surely, 2^1981453760 is an apocalyptic number.

1981453760 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 1981453760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3041660160).

1981453760 is an abundant number, since it is smaller than the sum of its proper divisors (4101866560).

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

1981453760 is a wasteful number, since it uses less digits than its factorization.

1981453760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 44.

The square root of 1981453760 is about 44513.5233384193. The cubic root of 1981453760 is about 1256.0144831792.

The spelling of 1981453760 in words is "one billion, nine hundred eighty-one million, four hundred fifty-three thousand, seven hundred sixty".