2536263606240 has 1728 divisors, whose sum is σ = 11547387371520. Its totient is φ = 517635256320.

The previous prime is 2536263606203. The next prime is 2536263606251. The reversal of 2536263606240 is 426063626352.

2536263606240 is a `hidden beast` number, since 2 + 5 + 3 + 6 + 2 + 636 + 0 + 6 + 2 + 4 + 0 = 666.

2536263606240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1108990377 + ... + 1108992663.

It is an arithmetic number, because the mean of its divisors is an integer number (6682515840).

Almost surely, 2^{2536263606240} is an apocalyptic number.

2536263606240 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 2536263606240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5773693685760).

2536263606240 is an abundant number, since it is smaller than the sum of its proper divisors (9011123765280).

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

2536263606240 is a wasteful number, since it uses less digits than its factorization.

2536263606240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2382 (or 2348 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 45.

The spelling of 2536263606240 in words is "two trillion, five hundred thirty-six billion, two hundred sixty-three million, six hundred six thousand, two hundred forty".