2642208801400 has 288 divisors, whose sum is σ = 7235253052560. Its totient is φ = 894651125760.

The previous prime is 2642208801391. The next prime is 2642208801433. The reversal of 2642208801400 is 41088022462.

It is a self number, because there is not a number n which added to its sum of digits gives 2642208801400.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 353374462 + ... + 353381938.

Almost surely, 2^{2642208801400} is an apocalyptic number.

2642208801400 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 2642208801400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3617626526280).

2642208801400 is an abundant number, since it is smaller than the sum of its proper divisors (4593044251160).

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

2642208801400 is a wasteful number, since it uses less digits than its factorization.

2642208801400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7951 (or 7935 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 37.

The spelling of 2642208801400 in words is "two trillion, six hundred forty-two billion, two hundred eight million, eight hundred one thousand, four hundred".