2867660364240 has 960 divisors, whose sum is σ = 11750693621760. Its totient is φ = 629638272000.

The previous prime is 2867660364221. The next prime is 2867660364341. The reversal of 2867660364240 is 424630667682.

2867660364240 is a `hidden beast` number, since 2 + 8 + 6 + 7 + 6 + 603 + 6 + 4 + 24 + 0 = 666.

2867660364240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2194077667 + ... + 2194078973.

It is an arithmetic number, because the mean of its divisors is an integer number (12240305856).

Almost surely, 2^{2867660364240} is an apocalyptic number.

2867660364240 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 2867660364240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5875346810880).

2867660364240 is an abundant number, since it is smaller than the sum of its proper divisors (8883033257520).

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

2867660364240 is a wasteful number, since it uses less digits than its factorization.

2867660364240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1549 (or 1506 counting only the distinct ones).

The product of its (nonzero) digits is 13934592, while the sum is 54.

The spelling of 2867660364240 in words is "two trillion, eight hundred sixty-seven billion, six hundred sixty million, three hundred sixty-four thousand, two hundred forty".