2838970800 has 90 divisors (see below), whose sum is σ = 9852029772. Its totient is φ = 757057920.

The previous prime is 2838970789. The next prime is 2838970801. The reversal of 2838970800 is 80798382.

It is a tau number, because it is divible by the number of its divisors (90).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (2838970801) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 390702 + ... + 397901.

Almost surely, 2^2838970800 is an apocalyptic number.

2838970800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2838970800 is an abundant number, since it is smaller than the sum of its proper divisors (7013058972).

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

2838970800 is a wasteful number, since it uses less digits than its factorization.

2838970800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 788627 (or 788613 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 2838970800 is about 53281.9932059603. The cubic root of 2838970800 is about 1415.9686625259.

The spelling of 2838970800 in words is "two billion, eight hundred thirty-eight million, nine hundred seventy thousand, eight hundred".