2605740480 has 336 divisors, whose sum is σ = 10598627520. Its totient is φ = 574930944.

The previous prime is 2605740463. The next prime is 2605740517. The reversal of 2605740480 is 840475062.

2605740480 is a `hidden beast` number, since 2 + 6 + 0 + 574 + 0 + 4 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×2605740480² = 13579766898221260800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 582412 + ... + 586868.

Almost surely, 2^2605740480 is an apocalyptic number.

2605740480 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 2605740480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5299313760).

2605740480 is an abundant number, since it is smaller than the sum of its proper divisors (7992887040).

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

2605740480 is a wasteful number, since it uses less digits than its factorization.

2605740480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4516 (or 4503 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 2605740480 is about 51046.4541373835. The cubic root of 2605740480 is about 1376.0801174732.

The spelling of 2605740480 in words is "two billion, six hundred five million, seven hundred forty thousand, four hundred eighty".