2641236480 has 480 divisors, whose sum is σ = 9766785600. Its totient is φ = 658538496.

The previous prime is 2641236463. The next prime is 2641236491. The reversal of 2641236480 is 846321462.

2641236480 is a `hidden beast` number, since 2 + 6 + 4 + 1 + 2 + 3 + 648 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×2641236480² = 13952260286565580800, 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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 39421407 + ... + 39421473.

It is an arithmetic number, because the mean of its divisors is an integer number (20347470).

Almost surely, 2^2641236480 is an apocalyptic number.

2641236480 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 2641236480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4883392800).

2641236480 is an abundant number, since it is smaller than the sum of its proper divisors (7125549120).

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

2641236480 is a wasteful number, since it uses less digits than its factorization.

2641236480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 2641236480 is about 51392.9613857773. The cubic root of 2641236480 is about 1382.3003850545.

It can be divided in two parts, 2641 and 236480, that added together give a square (239121 = 489²).

The spelling of 2641236480 in words is "two billion, six hundred forty-one million, two hundred thirty-six thousand, four hundred eighty".