2617540016 has 160 divisors (see below), whose sum is σ = 6707904000. Its totient is φ = 980501760.

The previous prime is 2617539973. The next prime is 2617540019. The reversal of 2617540016 is 6100457162.

It is a super-2 number, since 2×2617540016² = 13703031470722560512, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2617540019) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1354571 + ... + 1356501.

It is an arithmetic number, because the mean of its divisors is an integer number (41924400).

Almost surely, 2^2617540016 is an apocalyptic number.

2617540016 is a gapful number since it is divisible by the number (26) 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 2617540016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3353952000).

2617540016 is an abundant number, since it is smaller than the sum of its proper divisors (4090363984).

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

2617540016 is a wasteful number, since it uses less digits than its factorization.

2617540016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1992 (or 1972 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 32.

The square root of 2617540016 is about 51161.9000429030. The cubic root of 2617540016 is about 1378.1540845126.

Adding to 2617540016 its reverse (6100457162), we get a palindrome (8717997178).

The spelling of 2617540016 in words is "two billion, six hundred seventeen million, five hundred forty thousand, sixteen".