1981253088 has 192 divisors, whose sum is σ = 6041952000. Its totient is φ = 630830592.

The previous prime is 1981253081. The next prime is 1981253159. The reversal of 1981253088 is 8803521891.

It is a happy number.

It is a super-3 number, since 3×1981253088³ (a number of 29 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1981253081) 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, 2680623 + ... + 2681361.

It is an arithmetic number, because the mean of its divisors is an integer number (31468500).

Almost surely, 2^1981253088 is an apocalyptic number.

1981253088 is a gapful number since it is divisible by the number (18) 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 1981253088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3020976000).

1981253088 is an abundant number, since it is smaller than the sum of its proper divisors (4060698912).

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

1981253088 is a wasteful number, since it uses less digits than its factorization.

1981253088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 894 (or 880 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 45.

The square root of 1981253088 is about 44511.2692247705. The cubic root of 1981253088 is about 1255.9720807350.

It can be divided in two parts, 19812 and 53088, that added together give a square (72900 = 270²).

The spelling of 1981253088 in words is "one billion, nine hundred eighty-one million, two hundred fifty-three thousand, eighty-eight".