2530214313000 has 256 divisors, whose sum is σ = 8613991975680. Its totient is φ = 613238400000.

The previous prime is 2530214312999. The next prime is 2530214313013. The reversal of 2530214313000 is 3134120352.

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 63 ways as a sum of consecutive naturals, for example, 211887030 + ... + 211898970.

It is an arithmetic number, because the mean of its divisors is an integer number (33648406155).

Almost surely, 2^{2530214313000} is an apocalyptic number.

2530214313000 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 2530214313000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4306995987840).

2530214313000 is an abundant number, since it is smaller than the sum of its proper divisors (6083777662680).

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

2530214313000 is a wasteful number, since it uses less digits than its factorization.

2530214313000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18397 (or 18383 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

Adding to 2530214313000 its reverse (3134120352), we get a palindrome (2533348433352).

The spelling of 2530214313000 in words is "two trillion, five hundred thirty billion, two hundred fourteen million, three hundred thirteen thousand".