2874281760 has 576 divisors, whose sum is σ = 11887948800. Its totient is φ = 642235392.

The previous prime is 2874281747. The next prime is 2874281801. The reversal of 2874281760 is 671824782.

It is a super-2 number, since 2×2874281760² = 16522991271737395200, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16057351 + ... + 16057529.

It is an arithmetic number, because the mean of its divisors is an integer number (20638800).

Almost surely, 2^2874281760 is an apocalyptic number.

2874281760 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 2874281760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5943974400).

2874281760 is an abundant number, since it is smaller than the sum of its proper divisors (9013667040).

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

2874281760 is a wasteful number, since it uses less digits than its factorization.

2874281760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The square root of 2874281760 is about 53612.3284329267. The cubic root of 2874281760 is about 1421.8150696859.

The spelling of 2874281760 in words is "two billion, eight hundred seventy-four million, two hundred eighty-one thousand, seven hundred sixty".