2678234400 has 216 divisors, whose sum is σ = 10000117764. Its totient is φ = 672153600.

The previous prime is 2678234399. The next prime is 2678234401. The reversal of 2678234400 is 44328762.

It is an interprime number because it is at equal distance from previous prime (2678234399) and next prime (2678234401).

It can be written as a sum of positive squares in 6 ways, for example, as 489117456 + 2189116944 = 22116^2 + 46788^2 .

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

It is not an unprimeable number, because it can be changed into a prime (2678234401) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 111460 + ... + 133340.

Almost surely, 2^2678234400 is an apocalyptic number.

2678234400 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 2678234400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5000058882).

2678234400 is an abundant number, since it is smaller than the sum of its proper divisors (7321883364).

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

2678234400 is a wasteful number, since it uses less digits than its factorization.

2678234400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21924 (or 21908 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 2678234400 is about 51751.6608429140. The cubic root of 2678234400 is about 1388.7248108631.

The spelling of 2678234400 in words is "two billion, six hundred seventy-eight million, two hundred thirty-four thousand, four hundred".