1981483140 has 192 divisors, whose sum is σ = 6945361920. Its totient is φ = 410918400.

The previous prime is 1981483139. The next prime is 1981483151. The reversal of 1981483140 is 413841891.

It is a super-3 number, since 3×1981483140³ (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 319065 + ... + 325215.

It is an arithmetic number, because the mean of its divisors is an integer number (36173760).

Almost surely, 2^1981483140 is an apocalyptic number.

1981483140 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 1981483140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3472680960).

1981483140 is an abundant number, since it is smaller than the sum of its proper divisors (4963878780).

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

1981483140 is a wasteful number, since it uses less digits than its factorization.

1981483140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6242 (or 6240 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 39.

The square root of 1981483140 is about 44513.8533492665. The cubic root of 1981483140 is about 1256.0206909989.

The spelling of 1981483140 in words is "one billion, nine hundred eighty-one million, four hundred eighty-three thousand, one hundred forty".