2617291248000 has 1024 divisors, whose sum is σ = 10300863605760. Its totient is φ = 579502080000.

The previous prime is 2617291247939. The next prime is 2617291248001. The reversal of 2617291248000 is 8421927162.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2617291248001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 665806035 + ... + 665809965.

It is an arithmetic number, because the mean of its divisors is an integer number (10059437115).

Almost surely, 2^{2617291248000} is an apocalyptic number.

2617291248000 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 2617291248000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5150431802880).

2617291248000 is an abundant number, since it is smaller than the sum of its proper divisors (7683572357760).

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

2617291248000 is a wasteful number, since it uses less digits than its factorization.

2617291248000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4084 (or 4062 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The spelling of 2617291248000 in words is "two trillion, six hundred seventeen billion, two hundred ninety-one million, two hundred forty-eight thousand".