2119681600 has 63 divisors (see below), whose sum is σ = 5220276961. Its totient is φ = 847136000.

The previous prime is 2119681579. The next prime is 2119681607. The reversal of 2119681600 is 61869112.

The square root of 2119681600 is 46040.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 763085376 + 1356596224 = 27624^2 + 36832^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2119681607) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1841025 + ... + 1842175.

Almost surely, 2^2119681600 is an apocalyptic number.

2119681600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2119681600 is the 46040-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2119681600

2119681600 is an abundant number, since it is smaller than the sum of its proper divisors (3100595361).

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

2119681600 is an frugal number, since it uses more digits than its factorization.

2119681600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2324 (or 1158 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 34.

The cubic root of 2119681600 is about 1284.5673421152.

Multiplying 2119681600 by its product of nonzero digits (5184), we get a square (10988429414400 = 3314880²).

The spelling of 2119681600 in words is "two billion, one hundred nineteen million, six hundred eighty-one thousand, six hundred".