2867477760 has 504 divisors, whose sum is σ = 11796005760. Its totient is φ = 653930496.

The previous prime is 2867477759. The next prime is 2867477801. The reversal of 2867477760 is 677747682.

It is a tau number, because it is divible by the number of its divisors (504).

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

It is a junction number, because it is equal to n+sod(n) for n = 2867477697 and 2867477706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 6531621 + ... + 6532059.

Almost surely, 2^2867477760 is an apocalyptic number.

2867477760 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 2867477760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5898002880).

2867477760 is an abundant number, since it is smaller than the sum of its proper divisors (8928528000).

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

2867477760 is an frugal number, since it uses more digits than its factorization.

2867477760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 485 (or 456 counting only the distinct ones).

The product of its (nonzero) digits is 5531904, while the sum is 54.

The square root of 2867477760 is about 53548.8352814513. The cubic root of 2867477760 is about 1420.6922763469.

The spelling of 2867477760 in words is "two billion, eight hundred sixty-seven million, four hundred seventy-seven thousand, seven hundred sixty".