2877578496 has 216 divisors, whose sum is σ = 8999617536. Its totient is φ = 879022080.

The previous prime is 2877578489. The next prime is 2877578497. The reversal of 2877578496 is 6948757782.

2877578496 is a `hidden beast` number, since 2 + 8 + 7 + 75 + 78 + 496 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2877578497) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5720581 + ... + 5721083.

It is an arithmetic number, because the mean of its divisors is an integer number (41664896).

Almost surely, 2^2877578496 is an apocalyptic number.

2877578496 is a gapful number since it is divisible by the number (26) 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 2877578496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4499808768).

2877578496 is an abundant number, since it is smaller than the sum of its proper divisors (6122039040).

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

2877578496 is a wasteful number, since it uses less digits than its factorization.

2877578496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 729 (or 712 counting only the distinct ones).

The product of its digits is 47416320, while the sum is 63.

The square root of 2877578496 is about 53643.0656842056. The cubic root of 2877578496 is about 1422.3584585350.

The spelling of 2877578496 in words is "two billion, eight hundred seventy-seven million, five hundred seventy-eight thousand, four hundred ninety-six".