2402218728 has 576 divisors, whose sum is σ = 9012384000. Its totient is φ = 588736512.

The previous prime is 2402218727. The next prime is 2402218729. The reversal of 2402218728 is 8278122042.

It is an interprime number because it is at equal distance from previous prime (2402218727) and next prime (2402218729).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2402218692 and 2402218701.

It is not an unprimeable number, because it can be changed into a prime (2402218723) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 30407793 + ... + 30407871.

It is an arithmetic number, because the mean of its divisors is an integer number (15646500).

Almost surely, 2^2402218728 is an apocalyptic number.

2402218728 is a gapful number since it is divisible by the number (28) 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 2402218728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4506192000).

2402218728 is an abundant number, since it is smaller than the sum of its proper divisors (6610165272).

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

2402218728 is a wasteful number, since it uses less digits than its factorization.

2402218728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The square root of 2402218728 is about 49012.4344222974. The cubic root of 2402218728 is about 1339.2783535431.

The spelling of 2402218728 in words is "two billion, four hundred two million, two hundred eighteen thousand, seven hundred twenty-eight".