2483608400 has 360 divisors, whose sum is σ = 7695257472. Its totient is φ = 749952000.

The previous prime is 2483608397. The next prime is 2483608417. The reversal of 2483608400 is 48063842.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 34980365 + ... + 34980435.

Almost surely, 2^2483608400 is an apocalyptic number.

2483608400 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 2483608400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3847628736).

2483608400 is an abundant number, since it is smaller than the sum of its proper divisors (5211649072).

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

2483608400 is a wasteful number, since it uses less digits than its factorization.

2483608400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 35.

The square root of 2483608400 is about 49835.8144309893. The cubic root of 2483608400 is about 1354.2360585295.

The spelling of 2483608400 in words is "two billion, four hundred eighty-three million, six hundred eight thousand, four hundred".