2605962240 has 352 divisors, whose sum is σ = 10588066560. Its totient is φ = 595427328.

The previous prime is 2605962199. The next prime is 2605962241. The reversal of 2605962240 is 422695062.

2605962240 is a `hidden beast` number, since 2 + 6 + 0 + 596 + 22 + 40 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 2605962195 and 2605962204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2605962241) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 966334 + ... + 969026.

Almost surely, 2^2605962240 is an apocalyptic number.

2605962240 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 2605962240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5294033280).

2605962240 is an abundant number, since it is smaller than the sum of its proper divisors (7982104320).

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

2605962240 is a wasteful number, since it uses less digits than its factorization.

2605962240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2734 (or 2710 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 2605962240 is about 51048.6262302914. The cubic root of 2605962240 is about 1376.1191531936.

The spelling of 2605962240 in words is "two billion, six hundred five million, nine hundred sixty-two thousand, two hundred forty".