2651834880 has 240 divisors, whose sum is σ = 9249720480. Its totient is φ = 702111744.

The previous prime is 2651834873. The next prime is 2651834903. The reversal of 2651834880 is 884381562.

2651834880 is a `hidden beast` number, since 26 + 518 + 34 + 8 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×2651834880² = 14064456461569228800, 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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4123839 + ... + 4124481.

It is an arithmetic number, because the mean of its divisors is an integer number (38540502).

Almost surely, 2^2651834880 is an apocalyptic number.

2651834880 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 2651834880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4624860240).

2651834880 is an abundant number, since it is smaller than the sum of its proper divisors (6597885600).

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

2651834880 is a wasteful number, since it uses less digits than its factorization.

2651834880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 851 (or 832 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The square root of 2651834880 is about 51495.9695510241. The cubic root of 2651834880 is about 1384.1468208258.

The spelling of 2651834880 in words is "two billion, six hundred fifty-one million, eight hundred thirty-four thousand, eight hundred eighty".