2617140540 has 192 divisors, whose sum is σ = 8512358400. Its totient is φ = 588487680.

The previous prime is 2617140473. The next prime is 2617140553. The reversal of 2617140540 is 450417162.

It is a super-2 number, since 2×2617140540² = 13698849212222983200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2617140498 and 2617140507.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13151361 + ... + 13151559.

It is an arithmetic number, because the mean of its divisors is an integer number (44335200).

Almost surely, 2^2617140540 is an apocalyptic number.

2617140540 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 2617140540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4256179200).

2617140540 is an abundant number, since it is smaller than the sum of its proper divisors (5895217860).

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

2617140540 is a wasteful number, since it uses less digits than its factorization.

2617140540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 572 (or 570 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 2617140540 is about 51157.9958559754. The cubic root of 2617140540 is about 1378.0839719276.

The spelling of 2617140540 in words is "two billion, six hundred seventeen million, one hundred forty thousand, five hundred forty".