2536491624480 has 384 divisors, whose sum is σ = 9688303779840. Its totient is φ = 614683745280.

The previous prime is 2536491624479. The next prime is 2536491624481. The reversal of 2536491624480 is 844261946352.

2536491624480 is a `hidden beast` number, since 2 + 5 + 3 + 6 + 4 + 9 + 1 + 624 + 4 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2536491624479) and next prime (2536491624481).

It is a super-2 number, since 2×2536491624480² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (2536491624481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 157900929 + ... + 157916991.

It is an arithmetic number, because the mean of its divisors is an integer number (25229957760).

Almost surely, 2^{2536491624480} is an apocalyptic number.

2536491624480 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 2536491624480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4844151889920).

2536491624480 is an abundant number, since it is smaller than the sum of its proper divisors (7151812155360).

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

2536491624480 is a wasteful number, since it uses less digits than its factorization.

2536491624480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19421 (or 19407 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 54.

The spelling of 2536491624480 in words is "two trillion, five hundred thirty-six billion, four hundred ninety-one million, six hundred twenty-four thousand, four hundred eighty".