2882234880 has 960 divisors, whose sum is σ = 12763111680. Its totient is φ = 613122048.

The previous prime is 2882234807. The next prime is 2882234899. The reversal of 2882234880 is 884322882.

It is a happy number.

2882234880 is a `hidden beast` number, since 288 + 22 + 348 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×2882234880² = 16614555806977228800, 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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 77898222 + ... + 77898258.

It is an arithmetic number, because the mean of its divisors is an integer number (13294908).

Almost surely, 2^2882234880 is an apocalyptic number.

2882234880 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 2882234880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6381555840).

2882234880 is an abundant number, since it is smaller than the sum of its proper divisors (9880876800).

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

2882234880 is a wasteful number, since it uses less digits than its factorization.

2882234880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 393216, while the sum is 45.

The square root of 2882234880 is about 53686.4496870486. The cubic root of 2882234880 is about 1423.1252465365.

The spelling of 2882234880 in words is "two billion, eight hundred eighty-two million, two hundred thirty-four thousand, eight hundred eighty".