2642214120 has 512 divisors, whose sum is σ = 10601902080. Its totient is φ = 510935040.

The previous prime is 2642214109. The next prime is 2642214131. The reversal of 2642214120 is 214122462.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2642214109) and next prime (2642214131).

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7982355 + ... + 7982685.

It is an arithmetic number, because the mean of its divisors is an integer number (20706840).

Almost surely, 2^2642214120 is an apocalyptic number.

2642214120 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 2642214120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5300951040).

2642214120 is an abundant number, since it is smaller than the sum of its proper divisors (7959687960).

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

2642214120 is a wasteful number, since it uses less digits than its factorization.

2642214120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 425 (or 421 counting only the distinct ones).

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

The square root of 2642214120 is about 51402.4719249960. The cubic root of 2642214120 is about 1382.4709144582.

Adding to 2642214120 its reverse (214122462), we get a palindrome (2856336582).

The spelling of 2642214120 in words is "two billion, six hundred forty-two million, two hundred fourteen thousand, one hundred twenty".