2216761034400 has 864 divisors, whose sum is σ = 8676164689920. Its totient is φ = 528079104000.

The previous prime is 2216761034363. The next prime is 2216761034413. The reversal of 2216761034400 is 44301676122.

2216761034400 is a `hidden beast` number, since 2 + 2 + 1 + 6 + 7 + 610 + 34 + 4 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2693512389 + ... + 2693513211.

It is an arithmetic number, because the mean of its divisors is an integer number (10041857280).

Almost surely, 2^{2216761034400} is an apocalyptic number.

2216761034400 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 2216761034400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4338082344960).

2216761034400 is an abundant number, since it is smaller than the sum of its proper divisors (6459403655520).

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

2216761034400 is a wasteful number, since it uses less digits than its factorization.

2216761034400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1410 (or 1394 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 2216761034400 in words is "two trillion, two hundred sixteen billion, seven hundred sixty-one million, thirty-four thousand, four hundred".