2430101214240 has 384 divisors, whose sum is σ = 8839648806912. Its totient is φ = 549671485440.

The previous prime is 2430101214221. The next prime is 2430101214251. The reversal of 2430101214240 is 424121010342.

It is a super-2 number, since 2×2430101214240² (a number of 26 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2430101214240.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 259316755 + ... + 259326125.

It is an arithmetic number, because the mean of its divisors is an integer number (23019918768).

Almost surely, 2^{2430101214240} is an apocalyptic number.

2430101214240 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 2430101214240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4419824403456).

2430101214240 is an abundant number, since it is smaller than the sum of its proper divisors (6409547592672).

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

2430101214240 is a wasteful number, since it uses less digits than its factorization.

2430101214240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10192 (or 10184 counting only the distinct ones).

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

Adding to 2430101214240 its reverse (424121010342), we get a palindrome (2854222224582).

The spelling of 2430101214240 in words is "two trillion, four hundred thirty billion, one hundred one million, two hundred fourteen thousand, two hundred forty".