2874235680 has 288 divisors, whose sum is σ = 10286535168. Its totient is φ = 730667520.

The previous prime is 2874235673. The next prime is 2874235691. The reversal of 2874235680 is 865324782.

2874235680 is a `hidden beast` number, since 2 + 87 + 4 + 2 + 3 + 568 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×2874235680² = 16522461488370124800, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 42899007 + ... + 42899073.

It is an arithmetic number, because the mean of its divisors is an integer number (35717136).

Almost surely, 2^2874235680 is an apocalyptic number.

2874235680 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 2874235680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5143267584).

2874235680 is an abundant number, since it is smaller than the sum of its proper divisors (7412299488).

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

2874235680 is an equidigital number, since it uses as much as digits as its factorization.

2874235680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The square root of 2874235680 is about 53611.8986793044. The cubic root of 2874235680 is about 1421.8074715456.

The spelling of 2874235680 in words is "two billion, eight hundred seventy-four million, two hundred thirty-five thousand, six hundred eighty".