2402014000 has 80 divisors (see below), whose sum is σ = 5829314400. Its totient is φ = 957292800.

The previous prime is 2402013967. The next prime is 2402014037. The reversal of 2402014000 is 4102042.

2402014000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

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, 583951 + ... + 588049.

It is an arithmetic number, because the mean of its divisors is an integer number (72866430).

Almost surely, 2^2402014000 is an apocalyptic number.

2402014000 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 2402014000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2914657200).

2402014000 is an abundant number, since it is smaller than the sum of its proper divisors (3427300400).

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

2402014000 is a wasteful number, since it uses less digits than its factorization.

2402014000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4415 (or 4399 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

The square root of 2402014000 is about 49010.3458465659. The cubic root of 2402014000 is about 1339.2403059991.

Adding to 2402014000 its reverse (4102042), we get a palindrome (2406116042).

The spelling of 2402014000 in words is "two billion, four hundred two million, fourteen thousand".