2679494400 has 324 divisors, whose sum is σ = 10453159080. Its totient is φ = 649420800.

The previous prime is 2679494383. The next prime is 2679494407. The reversal of 2679494400 is 44949762.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2679494407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 631486 + ... + 635714.

Almost surely, 2^2679494400 is an apocalyptic number.

2679494400 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 2679494400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5226579540).

2679494400 is an abundant number, since it is smaller than the sum of its proper divisors (7773664680).

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

2679494400 is a wasteful number, since it uses less digits than its factorization.

2679494400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4272 (or 4250 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 2679494400 is about 51763.8329338159. The cubic root of 2679494400 is about 1388.9425561722.

The spelling of 2679494400 in words is "two billion, six hundred seventy-nine million, four hundred ninety-four thousand, four hundred".