2789672400 has 300 divisors, whose sum is σ = 10360637100. Its totient is φ = 718018560.

The previous prime is 2789672393. The next prime is 2789672489. The reversal of 2789672400 is 42769872.

It can be written as a sum of positive squares in 6 ways, for example, as 602800704 + 2186871696 = 24552^2 + 46764^2 .

It is a tau number, because it is divible by the number of its divisors (300).

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

It is a congruent number.

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 59 ways as a sum of consecutive naturals, for example, 938116 + ... + 941084.

It is an arithmetic number, because the mean of its divisors is an integer number (34535457).

Almost surely, 2^2789672400 is an apocalyptic number.

2789672400 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 2789672400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5180318550).

2789672400 is an abundant number, since it is smaller than the sum of its proper divisors (7570964700).

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

2789672400 is a wasteful number, since it uses less digits than its factorization.

2789672400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3028 (or 3008 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 2789672400 is about 52817.3494223252. The cubic root of 2789672400 is about 1407.7247142809.

The spelling of 2789672400 in words is "two billion, seven hundred eighty-nine million, six hundred seventy-two thousand, four hundred".