1985740800 has 228 divisors, whose sum is σ = 6631181976. Its totient is φ = 524288000.

The previous prime is 1985740789. The next prime is 1985740829. The reversal of 1985740800 is 80475891.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19660750 + ... + 19660850.

Almost surely, 2^1985740800 is an apocalyptic number.

1985740800 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 1985740800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3315590988).

1985740800 is an abundant number, since it is smaller than the sum of its proper divisors (4645441176).

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

1985740800 is an frugal number, since it uses more digits than its factorization.

1985740800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 42.

The square root of 1985740800 is about 44561.6516749548. The cubic root of 1985740800 is about 1256.9196612808.

The spelling of 1985740800 in words is "one billion, nine hundred eighty-five million, seven hundred forty thousand, eight hundred".