1981019040 has 1152 divisors, whose sum is σ = 9266503680. Its totient is φ = 348364800.

The previous prime is 1981019023. The next prime is 1981019093. The reversal of 1981019040 is 409101891.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 1981018992 and 1981019010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 63903825 + ... + 63903855.

It is an arithmetic number, because the mean of its divisors is an integer number (8043840).

Almost surely, 2^1981019040 is an apocalyptic number.

1981019040 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 1981019040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4633251840).

1981019040 is an abundant number, since it is smaller than the sum of its proper divisors (7285484640).

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

1981019040 is a wasteful number, since it uses less digits than its factorization.

1981019040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 33.

The square root of 1981019040 is about 44508.6400601052. The cubic root of 1981019040 is about 1255.9226222498.

The spelling of 1981019040 in words is "one billion, nine hundred eighty-one million, nineteen thousand, forty".