2642380540 has 48 divisors (see below), whose sum is σ = 5897848320. Its totient is φ = 991586880.

The previous prime is 2642380529. The next prime is 2642380547. The reversal of 2642380540 is 450832462.

It is a junction number, because it is equal to n+sod(n) for n = 2642380496 and 2642380505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2642380547) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5385 + ... + 72895.

It is an arithmetic number, because the mean of its divisors is an integer number (122871840).

Almost surely, 2^2642380540 is an apocalyptic number.

2642380540 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 2642380540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2948924160).

2642380540 is an abundant number, since it is smaller than the sum of its proper divisors (3255467780).

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

2642380540 is a wasteful number, since it uses less digits than its factorization.

2642380540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67642 (or 67640 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 34.

The square root of 2642380540 is about 51404.0906932513. The cubic root of 2642380540 is about 1382.4999388507.

The spelling of 2642380540 in words is "two billion, six hundred forty-two million, three hundred eighty thousand, five hundred forty".