2270813862000 has 320 divisors, whose sum is σ = 7757578483200. Its totient is φ = 569501798400.

The previous prime is 2270813861951. The next prime is 2270813862041. The reversal of 2270813862000 is 2683180722.

It is a self number, because there is not a number n which added to its sum of digits gives 2270813862000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 148810371 + ... + 148825629.

It is an arithmetic number, because the mean of its divisors is an integer number (24242432760).

Almost surely, 2^{2270813862000} is an apocalyptic number.

2270813862000 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 2270813862000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3878789241600).

2270813862000 is an abundant number, since it is smaller than the sum of its proper divisors (5486764621200).

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

2270813862000 is a wasteful number, since it uses less digits than its factorization.

2270813862000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16761 (or 16745 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The spelling of 2270813862000 in words is "two trillion, two hundred seventy billion, eight hundred thirteen million, eight hundred sixty-two thousand".