2878107978240 has 960 divisors, whose sum is σ = 11270947184640. Its totient is φ = 672669204480.

The previous prime is 2878107978223. The next prime is 2878107978269. The reversal of 2878107978240 is 428797018782.

2878107978240 is a `hidden beast` number, since 287 + 8 + 107 + 9 + 7 + 8 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 860934009 + ... + 860937351.

It is an arithmetic number, because the mean of its divisors is an integer number (11740569984).

Almost surely, 2^{2878107978240} is an apocalyptic number.

2878107978240 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 2878107978240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5635473592320).

2878107978240 is an abundant number, since it is smaller than the sum of its proper divisors (8392839206400).

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

2878107978240 is a wasteful number, since it uses less digits than its factorization.

2878107978240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3505 (or 3486 counting only the distinct ones).

The product of its (nonzero) digits is 25288704, while the sum is 63.

The spelling of 2878107978240 in words is "two trillion, eight hundred seventy-eight billion, one hundred seven million, nine hundred seventy-eight thousand, two hundred forty".