2116661400 has 288 divisors, whose sum is σ = 8387558400. Its totient is φ = 468115200.

The previous prime is 2116661383. The next prime is 2116661423. The reversal of 2116661400 is 41666112.

It is a zygodrome in base 6.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 387891 + ... + 393309.

Almost surely, 2^2116661400 is an apocalyptic number.

2116661400 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 2116661400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4193779200).

2116661400 is an abundant number, since it is smaller than the sum of its proper divisors (6270897000).

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

2116661400 is a wasteful number, since it uses less digits than its factorization.

2116661400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5479 (or 5467 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 2116661400 is about 46007.1885687443. The cubic root of 2116661400 is about 1283.9569525848.

The spelling of 2116661400 in words is "two billion, one hundred sixteen million, six hundred sixty-one thousand, four hundred".