1981754112 has 288 divisors, whose sum is σ = 6190213120. Its totient is φ = 557383680.

The previous prime is 1981754053. The next prime is 1981754113. The reversal of 1981754112 is 2114571891.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1981754113) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5880408 + ... + 5880744.

Almost surely, 2^1981754112 is an apocalyptic number.

1981754112 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 1981754112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3095106560).

1981754112 is an abundant number, since it is smaller than the sum of its proper divisors (4208459008).

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

1981754112 is a wasteful number, since it uses less digits than its factorization.

1981754112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 419 (or 405 counting only the distinct ones).

The product of its digits is 20160, while the sum is 39.

The square root of 1981754112 is about 44516.8969268973. The cubic root of 1981754112 is about 1256.0779428824.

The spelling of 1981754112 in words is "one billion, nine hundred eighty-one million, seven hundred fifty-four thousand, one hundred twelve".