2587407340 has 96 divisors (see below), whose sum is σ = 6437652480. Its totient is φ = 855131904.

The previous prime is 2587407337. The next prime is 2587407341. The reversal of 2587407340 is 437047852.

It is a super-3 number, since 3×2587407340³ (a number of 29 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2587407293 and 2587407302.

It is not an unprimeable number, because it can be changed into a prime (2587407341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 437926 + ... + 443794.

It is an arithmetic number, because the mean of its divisors is an integer number (67058880).

Almost surely, 2^2587407340 is an apocalyptic number.

2587407340 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 2587407340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3218826240).

2587407340 is an abundant number, since it is smaller than the sum of its proper divisors (3850245140).

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

2587407340 is a wasteful number, since it uses less digits than its factorization.

2587407340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5999 (or 5997 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 40.

The square root of 2587407340 is about 50866.5640671748. The cubic root of 2587407340 is about 1372.8453022632.

The spelling of 2587407340 in words is "two billion, five hundred eighty-seven million, four hundred seven thousand, three hundred forty".