2402114064 has 200 divisors, whose sum is σ = 7627235040. Its totient is φ = 649603584.

The previous prime is 2402114041. The next prime is 2402114069. The reversal of 2402114064 is 4604112042.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (2402114069) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2189164 + ... + 2190260.

Almost surely, 2^2402114064 is an apocalyptic number.

2402114064 is a gapful number since it is divisible by the number (24) 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 2402114064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3813617520).

2402114064 is an abundant number, since it is smaller than the sum of its proper divisors (5225120976).

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

2402114064 is a wasteful number, since it uses less digits than its factorization.

2402114064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1155 (or 1128 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 2402114064 is about 49011.3666816178. The cubic root of 2402114064 is about 1339.2589025991.

The spelling of 2402114064 in words is "two billion, four hundred two million, one hundred fourteen thousand, sixty-four".