2545098817536 has 1440 divisors, whose sum is σ = 9256961387520. Its totient is φ = 687970713600.

The previous prime is 2545098817523. The next prime is 2545098817543. The reversal of 2545098817536 is 6357188905452.

2545098817536 is a `hidden beast` number, since 2 + 5 + 4 + 5 + 0 + 9 + 88 + 17 + 536 = 666.

It is a super-2 number, since 2×2545098817536² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 68786454510 + ... + 68786454546.

It is an arithmetic number, because the mean of its divisors is an integer number (6428445408).

It is a 1-persistent number, because it is pandigital, but 2⋅2545098817536 = 5090197635072 is not.

Almost surely, 2^{2545098817536} 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 2545098817536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4628480693760).

2545098817536 is an abundant number, since it is smaller than the sum of its proper divisors (6711862569984).

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

2545098817536 is an equidigital number, since it uses as much as digits as its factorization.

2545098817536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 72576000, while the sum is 63.

The spelling of 2545098817536 in words is "two trillion, five hundred forty-five billion, ninety-eight million, eight hundred seventeen thousand, five hundred thirty-six".