2530546200000 has 1512 divisors, whose sum is σ = 11362692991104. Its totient is φ = 533675520000.

The previous prime is 2530546199959. The next prime is 2530546200079. The reversal of 2530546200000 is 26450352.

2530546200000 is a `hidden beast` number, since 2 + 5 + 30 + 5 + 4 + 620 + 0 + 0 + 0 + 0 = 666.

It is a super-3 number, since 3×2530546200000³ (a number of 38 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 1146598897 + ... + 1146601103.

It is an arithmetic number, because the mean of its divisors is an integer number (7515008592).

Almost surely, 2^{2530546200000} is an apocalyptic number.

2530546200000 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 2530546200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5681346495552).

2530546200000 is an abundant number, since it is smaller than the sum of its proper divisors (8832146791104).

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

2530546200000 is a wasteful number, since it uses less digits than its factorization.

2530546200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2277 (or 2237 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The spelling of 2530546200000 in words is "two trillion, five hundred thirty billion, five hundred forty-six million, two hundred thousand".