2874664782 has 128 divisors (see below), whose sum is σ = 7265894400. Its totient is φ = 834559200.

The previous prime is 2874664781. The next prime is 2874664787.

It is a happy number.

2874664782 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×2874664782² = 16527395217742215048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2874664781) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1969569 + ... + 1971027.

It is an arithmetic number, because the mean of its divisors is an integer number (56764800).

Almost surely, 2^2874664782 is an apocalyptic number.

2874664782 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2874664782, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3632947200).

2874664782 is an abundant number, since it is smaller than the sum of its proper divisors (4391229618).

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

2874664782 is a wasteful number, since it uses less digits than its factorization.

2874664782 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1619 (or 1613 counting only the distinct ones).

The product of its digits is 7225344, while the sum is 54.

The square root of 2874664782 is about 53615.9004587259. The cubic root of 2874664782 is about 1421.8782231168.

It can be divided in two parts, 28746 and 64782, that added together give a triangular number (93528 = T₄₃₂).

The spelling of 2874664782 in words is "two billion, eight hundred seventy-four million, six hundred sixty-four thousand, seven hundred eighty-two".