2642587740 has 240 divisors, whose sum is σ = 8990261280. Its totient is φ = 645926400.

The previous prime is 2642587723. The next prime is 2642587741. The reversal of 2642587740 is 477852462.

It is a happy number.

2642587740 is a `hidden beast` number, since 2 + 64 + 2 + 587 + 7 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2642587741) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3769390 + ... + 3770090.

It is an arithmetic number, because the mean of its divisors is an integer number (37459422).

Almost surely, 2^2642587740 is an apocalyptic number.

2642587740 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 2642587740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4495130640).

2642587740 is an abundant number, since it is smaller than the sum of its proper divisors (6347673540).

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

2642587740 is a wasteful number, since it uses less digits than its factorization.

2642587740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 914 (or 903 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 45.

The square root of 2642587740 is about 51406.1060575492. The cubic root of 2642587740 is about 1382.5360737546.

The spelling of 2642587740 in words is "two billion, six hundred forty-two million, five hundred eighty-seven thousand, seven hundred forty".