2687024340 has 480 divisors, whose sum is σ = 11324484864. Its totient is φ = 515082240.

The previous prime is 2687024309. The next prime is 2687024359. The reversal of 2687024340 is 434207862.

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 = 2687024295 and 2687024304.

It is a congruent number.

It is an unprimeable number.

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 159 ways as a sum of consecutive naturals, for example, 1620792 + ... + 1622448.

Almost surely, 2^2687024340 is an apocalyptic number.

2687024340 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 2687024340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5662242432).

2687024340 is an abundant number, since it is smaller than the sum of its proper divisors (8637460524).

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

2687024340 is a wasteful number, since it uses less digits than its factorization.

2687024340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1709 (or 1698 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 2687024340 is about 51836.5155078927. The cubic root of 2687024340 is about 1390.2424123908.

The spelling of 2687024340 in words is "two billion, six hundred eighty-seven million, twenty-four thousand, three hundred forty".