2111414000 has 80 divisors (see below), whose sum is σ = 5201988480. Its totient is φ = 828588800.

The previous prime is 2111413973. The next prime is 2111414033. The reversal of 2111414000 is 4141112.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 96041 + ... + 115959.

It is an arithmetic number, because the mean of its divisors is an integer number (65024856).

Almost surely, 2^2111414000 is an apocalyptic number.

2111414000 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 2111414000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2600994240).

2111414000 is an abundant number, since it is smaller than the sum of its proper divisors (3090574480).

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

2111414000 is a wasteful number, since it uses less digits than its factorization.

2111414000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19995 (or 19979 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

The square root of 2111414000 is about 45950.1251358470. The cubic root of 2111414000 is about 1282.8950584513.

Adding to 2111414000 its reverse (4141112), we get a palindrome (2115555112).

The spelling of 2111414000 in words is "two billion, one hundred eleven million, four hundred fourteen thousand".