2521042056000 has 1680 divisors, whose sum is σ = 10613161999440. Its totient is φ = 587193753600.

The previous prime is 2521042055977. The next prime is 2521042056017. The reversal of 2521042056000 is 6502401252.

2521042056000 is a `hidden beast` number, since 2 + 5 + 2 + 10 + 42 + 0 + 5 + 600 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1203707402496 + 1317334653504 = 1097136^2 + 1147752^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 3041063586 + ... + 3041064414.

It is an arithmetic number, because the mean of its divisors is an integer number (6317358333).

Almost surely, 2^{2521042056000} is an apocalyptic number.

2521042056000 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 2521042056000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5306580999720).

2521042056000 is an abundant number, since it is smaller than the sum of its proper divisors (8092119943440).

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

2521042056000 is a wasteful number, since it uses less digits than its factorization.

2521042056000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 919 (or 871 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 2521042056000 its reverse (6502401252), we get a palindrome (2527544457252).

The spelling of 2521042056000 in words is "two trillion, five hundred twenty-one billion, forty-two million, fifty-six thousand".