1981738000 has 240 divisors, whose sum is σ = 5557144320. Its totient is φ = 681120000.

The previous prime is 1981737973. The next prime is 1981738027. The reversal of 1981738000 is 8371891.

It is an interprime number because it is at equal distance from previous prime (1981737973) and next prime (1981738027).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4597785 + ... + 4598215.

It is an arithmetic number, because the mean of its divisors is an integer number (23154768).

Almost surely, 2^1981738000 is an apocalyptic number.

1981738000 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 1981738000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2778572160).

1981738000 is an abundant number, since it is smaller than the sum of its proper divisors (3575406320).

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

1981738000 is a wasteful number, since it uses less digits than its factorization.

1981738000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 495 (or 468 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 37.

The square root of 1981738000 is about 44516.7159615352. The cubic root of 1981738000 is about 1256.0745388303.

The spelling of 1981738000 in words is "one billion, nine hundred eighty-one million, seven hundred thirty-eight thousand".