2506145780232 has 384 divisors, whose sum is σ = 7289931916800. Its totient is φ = 776271734784.

The previous prime is 2506145780227. The next prime is 2506145780311. The reversal of 2506145780232 is 2320875416052.

2506145780232 is a `hidden beast` number, since 2 + 5 + 0 + 614 + 5 + 7 + 8 + 0 + 23 + 2 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4451413183 + ... + 4451413745.

It is an arithmetic number, because the mean of its divisors is an integer number (18984197700).

Almost surely, 2^{2506145780232} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2506145780232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3644965958400).

2506145780232 is an abundant number, since it is smaller than the sum of its proper divisors (4783786136568).

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

2506145780232 is a wasteful number, since it uses less digits than its factorization.

2506145780232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1165 (or 1158 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 2506145780232 in words is "two trillion, five hundred six billion, one hundred forty-five million, seven hundred eighty thousand, two hundred thirty-two".