2867762880 has 560 divisors, whose sum is σ = 10904914944. Its totient is φ = 714147840.

The previous prime is 2867762873. The next prime is 2867762881. The reversal of 2867762880 is 882677682.

2867762880 is a `hidden beast` number, since 2 + 8 + 6 + 7 + 7 + 628 + 8 + 0 = 666.

2867762880 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 not an unprimeable number, because it can be changed into a prime (2867762881) 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, 34551319 + ... + 34551401.

Almost surely, 2^2867762880 is an apocalyptic number.

2867762880 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 2867762880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5452457472).

2867762880 is an abundant number, since it is smaller than the sum of its proper divisors (8037152064).

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

2867762880 is a wasteful number, since it uses less digits than its factorization.

2867762880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 3612672, while the sum is 54.

The square root of 2867762880 is about 53551.4974580543. The cubic root of 2867762880 is about 1420.7393623683.

The spelling of 2867762880 in words is "two billion, eight hundred sixty-seven million, seven hundred sixty-two thousand, eight hundred eighty".