2221290086400 has 3360 divisors, whose sum is σ = 10760601848832. Its totient is φ = 439536844800.

The previous prime is 2221290086399. The next prime is 2221290086419. The reversal of 2221290086400 is 46800921222.

2221290086400 is a `hidden beast` number, since 2 + 2 + 2 + 1 + 2 + 9 + 0 + 0 + 8 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3360).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 47261491177 + ... + 47261491223.

Almost surely, 2^{2221290086400} is an apocalyptic number.

2221290086400 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 2221290086400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5380300924416).

2221290086400 is an abundant number, since it is smaller than the sum of its proper divisors (8539311762432).

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

2221290086400 is a wasteful number, since it uses less digits than its factorization.

2221290086400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 2221290086400 in words is "two trillion, two hundred twenty-one billion, two hundred ninety million, eighty-six thousand, four hundred".