2641141440 has 168 divisors, whose sum is σ = 10382280480. Its totient is φ = 603684864.

The previous prime is 2641141427. The next prime is 2641141457. The reversal of 2641141440 is 441411462.

2641141440 is a `hidden beast` number, since 2 + 641 + 1 + 4 + 14 + 4 + 0 = 666.

2641141440 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (168).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45345 + ... + 85664.

Almost surely, 2^2641141440 is an apocalyptic number.

2641141440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2641141440 is an abundant number, since it is smaller than the sum of its proper divisors (7741139040).

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

2641141440 is a wasteful number, since it uses less digits than its factorization.

2641141440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131039 (or 131026 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 2641141440 is about 51392.0367372222. The cubic root of 2641141440 is about 1382.2838050164.

The spelling of 2641141440 in words is "two billion, six hundred forty-one million, one hundred forty-one thousand, four hundred forty".