2878291765440 has 2688 divisors, whose sum is σ = 13608055738368. Its totient is φ = 561842749440.

The previous prime is 2878291765439. The next prime is 2878291765483. The reversal of 2878291765440 is 445671928782.

It is a happy number.

2878291765440 is a `hidden beast` number, since 2 + 8 + 7 + 82 + 9 + 1 + 7 + 6 + 544 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 8540924952 + ... + 8540925288.

It is an arithmetic number, because the mean of its divisors is an integer number (5062520736).

Almost surely, 2^{2878291765440} is an apocalyptic number.

2878291765440 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 2878291765440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6804027869184).

2878291765440 is an abundant number, since it is smaller than the sum of its proper divisors (10729763972928).

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

2878291765440 is a wasteful number, since it uses less digits than its factorization.

2878291765440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 477 (or 455 counting only the distinct ones).

The product of its (nonzero) digits is 54190080, while the sum is 63.

The spelling of 2878291765440 in words is "two trillion, eight hundred seventy-eight billion, two hundred ninety-one million, seven hundred sixty-five thousand, four hundred forty".