2483028900 has 243 divisors, whose sum is σ = 8611804929. Its totient is φ = 597960000.

The previous prime is 2483028883. The next prime is 2483028949. The reversal of 2483028900 is 98203842.

The square root of 2483028900 is 49830.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 893890404 + 1589138496 = 29898^2 + 39864^2 .

It is a super-3 number, since 3×2483028900³ (a number of 29 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 16443825 + ... + 16443975.

Almost surely, 2^2483028900 is an apocalyptic number.

2483028900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2483028900 is the 49830-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2483028900

2483028900 is an abundant number, since it is smaller than the sum of its proper divisors (6128776029).

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

2483028900 is a wasteful number, since it uses less digits than its factorization.

2483028900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344 (or 172 counting only the distinct ones).

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

The cubic root of 2483028900 is about 1354.1307224332.

Multiplying 2483028900 by its sum of digits (36), we get a square (89389040400 = 298980²).

2483028900 divided by its sum of digits (36) gives a square (68973025 = 8305²).

The spelling of 2483028900 in words is "two billion, four hundred eighty-three million, twenty-eight thousand, nine hundred".