2114726400 has 480 divisors, whose sum is σ = 8067787200. Its totient is φ = 541900800.

The previous prime is 2114726389. The next prime is 2114726417. The reversal of 2114726400 is 46274112.

2114726400 is a `hidden beast` number, since 2 + 1 + 14 + 7 + 2 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10022295 + ... + 10022505.

It is an arithmetic number, because the mean of its divisors is an integer number (16807890).

Almost surely, 2^2114726400 is an apocalyptic number.

2114726400 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 2114726400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4033893600).

2114726400 is an abundant number, since it is smaller than the sum of its proper divisors (5953060800).

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

2114726400 is a wasteful number, since it uses less digits than its factorization.

2114726400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 2114726400 is about 45986.1544380480. The cubic root of 2114726400 is about 1283.5655793016.

The spelling of 2114726400 in words is "two billion, one hundred fourteen million, seven hundred twenty-six thousand, four hundred".