2221076862400 has 336 divisors, whose sum is σ = 6134620171680. Its totient is φ = 784465920000.

The previous prime is 2221076862353. The next prime is 2221076862437. The reversal of 2221076862400 is 42686701222.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 165239680 + ... + 165253120.

It is an arithmetic number, because the mean of its divisors is an integer number (18257798130).

Almost surely, 2^{2221076862400} is an apocalyptic number.

2221076862400 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 2221076862400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3067310085840).

2221076862400 is an abundant number, since it is smaller than the sum of its proper divisors (3913543309280).

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

2221076862400 is a wasteful number, since it uses less digits than its factorization.

2221076862400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13744 (or 13729 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 40.

The spelling of 2221076862400 in words is "two trillion, two hundred twenty-one billion, seventy-six million, eight hundred sixty-two thousand, four hundred".