2861948880 has 360 divisors, whose sum is σ = 11670003072. Its totient is φ = 625540608.

The previous prime is 2861948849. The next prime is 2861948911. The reversal of 2861948880 is 888491682.

2861948880 is a `hidden beast` number, since 2 + 86 + 1 + 9 + 488 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (2861948849) and next prime (2861948911).

It is a tau number, because it is divible by the number of its divisors (360).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 809677 + ... + 813203.

Almost surely, 2^2861948880 is an apocalyptic number.

2861948880 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 2861948880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5835001536).

2861948880 is an abundant number, since it is smaller than the sum of its proper divisors (8808054192).

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

2861948880 is a wasteful number, since it uses less digits than its factorization.

2861948880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3583 (or 3567 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 54.

The square root of 2861948880 is about 53497.1857203722. The cubic root of 2861948880 is about 1419.7785940592.

The spelling of 2861948880 in words is "two billion, eight hundred sixty-one million, nine hundred forty-eight thousand, eight hundred eighty".