2874211200 has 576 divisors, whose sum is σ = 11986509600. Its totient is φ = 642170880.

The previous prime is 2874211103. The next prime is 2874211201. The reversal of 2874211200 is 21124782.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×2874211200² = 16522180044410880000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2874211201) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 10684666 + ... + 10684934.

Almost surely, 2^2874211200 is an apocalyptic number.

2874211200 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 2874211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5993254800).

2874211200 is an abundant number, since it is smaller than the sum of its proper divisors (9112298400).

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

2874211200 is a wasteful number, since it uses less digits than its factorization.

2874211200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359 (or 339 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 2874211200 is about 53611.6703712914. The cubic root of 2874211200 is about 1421.8034350005.

Adding to 2874211200 its reverse (21124782), we get a palindrome (2895335982).

The spelling of 2874211200 in words is "two billion, eight hundred seventy-four million, two hundred eleven thousand, two hundred".