2615405240 has 128 divisors (see below), whose sum is σ = 6900111360. Its totient is φ = 873590784.

The previous prime is 2615405209. The next prime is 2615405249. The reversal of 2615405240 is 425045162.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2615405249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4645199 + ... + 4645761.

It is an arithmetic number, because the mean of its divisors is an integer number (53907120).

Almost surely, 2^2615405240 is an apocalyptic number.

2615405240 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 2615405240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3450055680).

2615405240 is an abundant number, since it is smaller than the sum of its proper divisors (4284706120).

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

2615405240 is a wasteful number, since it uses less digits than its factorization.

2615405240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 981 (or 977 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 29.

The square root of 2615405240 is about 51141.0328405675. The cubic root of 2615405240 is about 1377.7793241880.

The spelling of 2615405240 in words is "two billion, six hundred fifteen million, four hundred five thousand, two hundred forty".