2641266201400 has 96 divisors (see below), whose sum is σ = 6471447408000. Its totient is φ = 999771189120.

The previous prime is 2641266201397. The next prime is 2641266201403. The reversal of 2641266201400 is 41026621462.

It is an interprime number because it is at equal distance from previous prime (2641266201397) and next prime (2641266201403).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2641266201403) 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, 2978791 + ... + 3762409.

It is an arithmetic number, because the mean of its divisors is an integer number (67410910500).

Almost surely, 2^{2641266201400} is an apocalyptic number.

2641266201400 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 2641266201400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3235723704000).

2641266201400 is an abundant number, since it is smaller than the sum of its proper divisors (3830181206600).

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

2641266201400 is a wasteful number, since it uses less digits than its factorization.

2641266201400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 784541 (or 784532 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 34.

The spelling of 2641266201400 in words is "two trillion, six hundred forty-one billion, two hundred sixty-six million, two hundred one thousand, four hundred".