2402084538 has 128 divisors (see below), whose sum is σ = 6629376000. Its totient is φ = 629156160.

The previous prime is 2402084537. The next prime is 2402084539. The reversal of 2402084538 is 8354802042.

2402084538 is a `hidden beast` number, since 2 + 40 + 2 + 0 + 84 + 538 = 666.

It is an interprime number because it is at equal distance from previous prime (2402084537) and next prime (2402084539).

It is not an unprimeable number, because it can be changed into a prime (2402084537) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 217248 + ... + 228036.

It is an arithmetic number, because the mean of its divisors is an integer number (51792000).

Almost surely, 2^2402084538 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2402084538, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3314688000).

2402084538 is an abundant number, since it is smaller than the sum of its proper divisors (4227291462).

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

2402084538 is a wasteful number, since it uses less digits than its factorization.

2402084538 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10857 (or 10851 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 2402084538 is about 49011.0654648519. The cubic root of 2402084538 is about 1339.2534153326.

The spelling of 2402084538 in words is "two billion, four hundred two million, eighty-four thousand, five hundred thirty-eight".