2114301440 has 80 divisors (see below), whose sum is σ = 5165347968. Its totient is φ = 829710336.

The previous prime is 2114301433. The next prime is 2114301457. The reversal of 2114301440 is 441034112.

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

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 127889 + ... + 143471.

Almost surely, 2^2114301440 is an apocalyptic number.

2114301440 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 2114301440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2582673984).

2114301440 is an abundant number, since it is smaller than the sum of its proper divisors (3051046528).

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

2114301440 is an equidigital number, since it uses as much as digits as its factorization.

2114301440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15659 (or 15643 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 2114301440 is about 45981.5336847304. The cubic root of 2114301440 is about 1283.4795948814.

Adding to 2114301440 its reverse (441034112), we get a palindrome (2555335552).

The spelling of 2114301440 in words is "two billion, one hundred fourteen million, three hundred one thousand, four hundred forty".