2641034880 has 384 divisors, whose sum is σ = 10102847040. Its totient is φ = 630374400.

The previous prime is 2641034849. The next prime is 2641034909. The reversal of 2641034880 is 884301462.

2641034880 is a `hidden beast` number, since 2 + 641 + 0 + 3 + 4 + 8 + 8 + 0 = 666.

It is a Cunningham number, because it is equal to 51391²-1.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×2641034880² = 13950130474753228800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4624995 + ... + 4625565.

Almost surely, 2^2641034880 is an apocalyptic number.

2641034880 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 2641034880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5051423520).

2641034880 is an abundant number, since it is smaller than the sum of its proper divisors (7461812160).

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

2641034880 is a wasteful number, since it uses less digits than its factorization.

2641034880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 680 (or 665 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 2641034880 is about 51390.9999902707. Note that the first 5 decimals coincide. The cubic root of 2641034880 is about 1382.2652148037.

The spelling of 2641034880 in words is "two billion, six hundred forty-one million, thirty-four thousand, eight hundred eighty".