2114402000 has 80 divisors (see below), whose sum is σ = 5250986832. Its totient is φ = 822873600.

The previous prime is 2114401997. The next prime is 2114402011. The reversal of 2114402000 is 2044112.

It can be written as a sum of positive squares in 8 ways, for example, as 981944896 + 1132457104 = 31336^2 + 33652^2 .

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, 59714 + ... + 88286.

Almost surely, 2^2114402000 is an apocalyptic number.

2114402000 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 2114402000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2625493416).

2114402000 is an abundant number, since it is smaller than the sum of its proper divisors (3136584832).

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

2114402000 is a wasteful number, since it uses less digits than its factorization.

2114402000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28633 (or 28617 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 2114402000 is about 45982.6271541764. The cubic root of 2114402000 is about 1283.4999427624.

Adding to 2114402000 its reverse (2044112), we get a palindrome (2116446112).

The spelling of 2114402000 in words is "two billion, one hundred fourteen million, four hundred two thousand".