2162260838400 has 1152 divisors, whose sum is σ = 8138291616000. Its totient is φ = 503387258880.

The previous prime is 2162260838393. The next prime is 2162260838417. The reversal of 2162260838400 is 48380622612.

It is a congruent number.

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, 24295065556 + ... + 24295065644.

It is an arithmetic number, because the mean of its divisors is an integer number (7064489250).

Almost surely, 2^{2162260838400} is an apocalyptic number.

2162260838400 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 2162260838400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4069145808000).

2162260838400 is an abundant number, since it is smaller than the sum of its proper divisors (5976030777600).

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

2162260838400 is an equidigital number, since it uses as much as digits as its factorization.

2162260838400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 42.

The spelling of 2162260838400 in words is "two trillion, one hundred sixty-two billion, two hundred sixty million, eight hundred thirty-eight thousand, four hundred".