2789745900 has 216 divisors, whose sum is σ = 8953593600. Its totient is φ = 669250560.

The previous prime is 2789745887. The next prime is 2789745913. The reversal of 2789745900 is 95479872.

It is an interprime number because it is at equal distance from previous prime (2789745887) and next prime (2789745913).

It is a super-3 number, since 3×2789745900³ (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

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 71 ways as a sum of consecutive naturals, for example, 1993401 + ... + 1994799.

Almost surely, 2^2789745900 is an apocalyptic number.

2789745900 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 2789745900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4476796800).

2789745900 is an abundant number, since it is smaller than the sum of its proper divisors (6163847700).

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

2789745900 is a wasteful number, since it uses less digits than its factorization.

2789745900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1473 (or 1449 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 51.

The square root of 2789745900 is about 52818.0452118402. The cubic root of 2789745900 is about 1407.7370773644.

The spelling of 2789745900 in words is "two billion, seven hundred eighty-nine million, seven hundred forty-five thousand, nine hundred".