2262356855400 has 384 divisors, whose sum is σ = 7392126873600. Its totient is φ = 571645900800.

The previous prime is 2262356855387. The next prime is 2262356855453. The reversal of 2262356855400 is 45586532622.

2262356855400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 2262356855400.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 188728207 + ... + 188740193.

It is an arithmetic number, because the mean of its divisors is an integer number (19250330400).

Almost surely, 2^{2262356855400} is an apocalyptic number.

2262356855400 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 2262356855400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3696063436800).

2262356855400 is an abundant number, since it is smaller than the sum of its proper divisors (5129770018200).

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

2262356855400 is a wasteful number, since it uses less digits than its factorization.

2262356855400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12249 (or 12240 counting only the distinct ones).

The product of its (nonzero) digits is 3456000, while the sum is 48.

The spelling of 2262356855400 in words is "two trillion, two hundred sixty-two billion, three hundred fifty-six million, eight hundred fifty-five thousand, four hundred".