2879798400 has 192 divisors, whose sum is σ = 10539578400. Its totient is φ = 767923200.

The previous prime is 2879798399. The next prime is 2879798401. The reversal of 2879798400 is 48979782.

It is an interprime number because it is at equal distance from previous prime (2879798399) and next prime (2879798401).

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (2879798401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 69735 + ... + 103065.

Almost surely, 2^2879798400 is an apocalyptic number.

2879798400 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 2879798400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5269789200).

2879798400 is an abundant number, since it is smaller than the sum of its proper divisors (7659780000).

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

2879798400 is a wasteful number, since it uses less digits than its factorization.

2879798400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33364 (or 33341 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 54.

The square root of 2879798400 is about 53663.7531300225. The cubic root of 2879798400 is about 1422.7241233505.

The spelling of 2879798400 in words is "two billion, eight hundred seventy-nine million, seven hundred ninety-eight thousand, four hundred".