2641872240 has 480 divisors, whose sum is σ = 10729224000. Its totient is φ = 595703808.

The previous prime is 2641872221. The next prime is 2641872281. The reversal of 2641872240 is 422781462.

2641872240 is a `hidden beast` number, since 2 + 641 + 8 + 7 + 2 + 2 + 4 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 2641872195 and 2641872204.

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, 11536446 + ... + 11536674.

It is an arithmetic number, because the mean of its divisors is an integer number (22352550).

Almost surely, 2^2641872240 is an apocalyptic number.

2641872240 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 2641872240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5364612000).

2641872240 is an abundant number, since it is smaller than the sum of its proper divisors (8087351760).

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

2641872240 is a wasteful number, since it uses less digits than its factorization.

2641872240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374 (or 355 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 2641872240 is about 51399.1462964124. The cubic root of 2641872240 is about 1382.4112852329.

The spelling of 2641872240 in words is "two billion, six hundred forty-one million, eight hundred seventy-two thousand, two hundred forty".