2083472400 has 480 divisors, whose sum is σ = 7532517888. Its totient is φ = 489881600.

The previous prime is 2083472393. The next prime is 2083472407. The reversal of 2083472400 is 42743802.

It is an interprime number because it is at equal distance from previous prime (2083472393) and next prime (2083472407).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (2083472407) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 39310774 + ... + 39310826.

Almost surely, 2^2083472400 is an apocalyptic number.

2083472400 is a gapful number since it is divisible by the number (20) 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 2083472400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3766258944).

2083472400 is an abundant number, since it is smaller than the sum of its proper divisors (5449045488).

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

2083472400 is a wasteful number, since it uses less digits than its factorization.

2083472400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 30.

The square root of 2083472400 is about 45645.0698323488. The cubic root of 2083472400 is about 1277.2108048499.

The spelling of 2083472400 in words is "two billion, eighty-three million, four hundred seventy-two thousand, four hundred".