2878064640 has 576 divisors, whose sum is σ = 11590750080. Its totient is φ = 652738560.

The previous prime is 2878064621. The next prime is 2878064669. The reversal of 2878064640 is 464608782.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17233837 + ... + 17234003.

It is an arithmetic number, because the mean of its divisors is an integer number (20122830).

Almost surely, 2^2878064640 is an apocalyptic number.

2878064640 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 2878064640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5795375040).

2878064640 is an abundant number, since it is smaller than the sum of its proper divisors (8712685440).

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

2878064640 is a wasteful number, since it uses less digits than its factorization.

2878064640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The square root of 2878064640 is about 53647.5967774886. The cubic root of 2878064640 is about 1422.4385527410.

The spelling of 2878064640 in words is "two billion, eight hundred seventy-eight million, sixty-four thousand, six hundred forty".