2641345200000 has 960 divisors, whose sum is σ = 10582587671040. Its totient is φ = 650073600000.

The previous prime is 2641345199953. The next prime is 2641345200017. The reversal of 2641345200000 is 25431462.

2641345200000 is a `hidden beast` number, since 2 + 6 + 4 + 134 + 520 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 421196865 + ... + 421203135.

It is an arithmetic number, because the mean of its divisors is an integer number (11023528824).

Almost surely, 2^{2641345200000} is an apocalyptic number.

2641345200000 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 2641345200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5291293835520).

2641345200000 is an abundant number, since it is smaller than the sum of its proper divisors (7941242471040).

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

2641345200000 is an frugal number, since it uses more digits than its factorization.

2641345200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6335 (or 6294 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The spelling of 2641345200000 in words is "two trillion, six hundred forty-one billion, three hundred forty-five million, two hundred thousand".