2874890400 has 288 divisors, whose sum is σ = 10232345088. Its totient is φ = 697958400.

The previous prime is 2874890341. The next prime is 2874890401. The reversal of 2874890400 is 40984782.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2874890401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1263664 + ... + 1265936.

It is an arithmetic number, because the mean of its divisors is an integer number (35528976).

Almost surely, 2^2874890400 is an apocalyptic number.

2874890400 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 2874890400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5116172544).

2874890400 is an abundant number, since it is smaller than the sum of its proper divisors (7357454688).

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

2874890400 is a wasteful number, since it uses less digits than its factorization.

2874890400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2344 (or 2331 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 42.

The square root of 2874890400 is about 53618.0044388077. The cubic root of 2874890400 is about 1421.9154208370.

The spelling of 2874890400 in words is "two billion, eight hundred seventy-four million, eight hundred ninety thousand, four hundred".