2421414131000 has 256 divisors, whose sum is σ = 6218754048000. Its totient is φ = 878946163200.

The previous prime is 2421414130999. The next prime is 2421414131023. The reversal of 2421414131000 is 1314141242.

It is a super-2 number, since 2×2421414131000² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

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, 69959699 + ... + 69994301.

It is an arithmetic number, because the mean of its divisors is an integer number (24292008000).

Almost surely, 2^{2421414131000} is an apocalyptic number.

2421414131000 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 2421414131000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3109377024000).

2421414131000 is an abundant number, since it is smaller than the sum of its proper divisors (3797339917000).

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

2421414131000 is a wasteful number, since it uses less digits than its factorization.

2421414131000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34799 (or 34785 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

Adding to 2421414131000 its reverse (1314141242), we get a palindrome (2422728272242).

The spelling of 2421414131000 in words is "two trillion, four hundred twenty-one billion, four hundred fourteen million, one hundred thirty-one thousand".