2874152736 has 288 divisors, whose sum is σ = 10652923008. Its totient is φ = 713318400.

The previous prime is 2874152731. The next prime is 2874152759. The reversal of 2874152736 is 6372514782.

2874152736 is a `hidden beast` number, since 2 + 87 + 41 + 527 + 3 + 6 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 2874152691 and 2874152700.

It is not an unprimeable number, because it can be changed into a prime (2874152731) 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, 442311 + ... + 448761.

It is an arithmetic number, because the mean of its divisors is an integer number (36989316).

Almost surely, 2^2874152736 is an apocalyptic number.

2874152736 is a gapful number since it is divisible by the number (26) 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 2874152736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5326461504).

2874152736 is an abundant number, since it is smaller than the sum of its proper divisors (7778770272).

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

2874152736 is a wasteful number, since it uses less digits than its factorization.

2874152736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6504 (or 6493 counting only the distinct ones).

The product of its digits is 564480, while the sum is 45.

The square root of 2874152736 is about 53611.1251141029. The cubic root of 2874152736 is about 1421.7937946883.

The spelling of 2874152736 in words is "two billion, eight hundred seventy-four million, one hundred fifty-two thousand, seven hundred thirty-six".