1988741600 has 144 divisors (see below), whose sum is σ = 5167638000. Its totient is φ = 744775680.

The previous prime is 1988741593. The next prime is 1988741633. The reversal of 1988741600 is 61478891.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4746191 + ... + 4746609.

It is an arithmetic number, because the mean of its divisors is an integer number (35886375).

Almost surely, 2^1988741600 is an apocalyptic number.

1988741600 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 1988741600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2583819000).

1988741600 is an abundant number, since it is smaller than the sum of its proper divisors (3178896400).

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

1988741600 is a wasteful number, since it uses less digits than its factorization.

1988741600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 805 (or 792 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 44.

The square root of 1988741600 is about 44595.3091703601. The cubic root of 1988741600 is about 1257.5524840846.

The spelling of 1988741600 in words is "one billion, nine hundred eighty-eight million, seven hundred forty-one thousand, six hundred".