2641402800 has 540 divisors, whose sum is σ = 10224770920. Its totient is φ = 629544960.

The previous prime is 2641402763. The next prime is 2641402807. The reversal of 2641402800 is 82041462.

2641402800 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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (2641402807) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 36183564 + ... + 36183636.

Almost surely, 2^2641402800 is an apocalyptic number.

2641402800 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 2641402800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5112385460).

2641402800 is an abundant number, since it is smaller than the sum of its proper divisors (7583368120).

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

2641402800 is a wasteful number, since it uses less digits than its factorization.

2641402800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 125 counting only the distinct ones).

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

The square root of 2641402800 is about 51394.5794807196. The cubic root of 2641402800 is about 1382.3293991641.

The spelling of 2641402800 in words is "two billion, six hundred forty-one million, four hundred two thousand, eight hundred".