2641263600 has 120 divisors (see below), whose sum is σ = 8496885232. Its totient is φ = 701337600.

The previous prime is 2641263571. The next prime is 2641263601. The reversal of 2641263600 is 63621462.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2641263601) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 284634 + ... + 293766.

Almost surely, 2^2641263600 is an apocalyptic number.

2641263600 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 2641263600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4248442616).

2641263600 is an abundant number, since it is smaller than the sum of its proper divisors (5855621632).

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

2641263600 is a wasteful number, since it uses less digits than its factorization.

2641263600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9395 (or 9384 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 2641263600 is about 51393.2252344606. The cubic root of 2641263600 is about 1382.3051161540.

The spelling of 2641263600 in words is "two billion, six hundred forty-one million, two hundred sixty-three thousand, six hundred".