2874201600 has 360 divisors, whose sum is σ = 9943928280. Its totient is φ = 731709440.

The previous prime is 2874201569. The next prime is 2874201613. The reversal of 2874201600 is 61024782.

It is a super-2 number, since 2×2874201600² = 16522069674885120000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 32294356 + ... + 32294444.

It is an arithmetic number, because the mean of its divisors is an integer number (27622023).

Almost surely, 2^2874201600 is an apocalyptic number.

2874201600 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 2874201600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4971964140).

2874201600 is an abundant number, since it is smaller than the sum of its proper divisors (7069726680).

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

2874201600 is an equidigital number, since it uses as much as digits as its factorization.

2874201600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 2874201600 is about 53611.5808384718. The cubic root of 2874201600 is about 1421.8018520354.

The spelling of 2874201600 in words is "two billion, eight hundred seventy-four million, two hundred one thousand, six hundred".