2414310030132 has 288 divisors, whose sum is σ = 7906864129920. Its totient is φ = 563210081280.

The previous prime is 2414310030113. The next prime is 2414310030151. The reversal of 2414310030132 is 2310300134142.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2414310030113) and next prime (2414310030151).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2723094 + ... + 3499122.

It is an arithmetic number, because the mean of its divisors is an integer number (27454389340).

Almost surely, 2^{2414310030132} is an apocalyptic number.

2414310030132 is a gapful number since it is divisible by the number (22) 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 2414310030132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3953432064960).

2414310030132 is an abundant number, since it is smaller than the sum of its proper divisors (5492554099788).

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

2414310030132 is a wasteful number, since it uses less digits than its factorization.

2414310030132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 776111 (or 776102 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 2414310030132 its reverse (2310300134142), we get a palindrome (4724610164274).

The spelling of 2414310030132 in words is "two trillion, four hundred fourteen billion, three hundred ten million, thirty thousand, one hundred thirty-two".