1982183400 has 240 divisors, whose sum is σ = 7108295040. Its totient is φ = 511401600.

The previous prime is 1982183377. The next prime is 1982183407. The reversal of 1982183400 is 43812891.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1982183407) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 500227 + ... + 504173.

It is an arithmetic number, because the mean of its divisors is an integer number (29617896).

Almost surely, 2^1982183400 is an apocalyptic number.

1982183400 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 1982183400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3554147520).

1982183400 is an abundant number, since it is smaller than the sum of its proper divisors (5126111640).

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

1982183400 is a wasteful number, since it uses less digits than its factorization.

1982183400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4006 (or 3988 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 1982183400 is about 44521.7182956813. The cubic root of 1982183400 is about 1256.1686336252.

The spelling of 1982183400 in words is "one billion, nine hundred eighty-two million, one hundred eighty-three thousand, four hundred".