1982246400 has 180 divisors, whose sum is σ = 7094324952. Its totient is φ = 528568320.

The previous prime is 1982246377. The next prime is 1982246411. The reversal of 1982246400 is 46422891.

1982246400 is a `hidden beast` number, since 1 + 9 + 8 + 2 + 2 + 4 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 106597 + ... + 123803.

Almost surely, 2^1982246400 is an apocalyptic number.

1982246400 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 1982246400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3547162476).

1982246400 is an abundant number, since it is smaller than the sum of its proper divisors (5112078552).

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

1982246400 is a wasteful number, since it uses less digits than its factorization.

1982246400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17241 (or 17217 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 1982246400 is about 44522.4258099219. The cubic root of 1982246400 is about 1256.1819418094.

The spelling of 1982246400 in words is "one billion, nine hundred eighty-two million, two hundred forty-six thousand, four hundred".