2878282577664 has 864 divisors, whose sum is σ = 9695427840000. Its totient is φ = 840264302592.

The previous prime is 2878282577663. The next prime is 2878282577683. The reversal of 2878282577664 is 4667752828782.

It is a happy number.

2878282577664 is a `hidden beast` number, since 28 + 7 + 8 + 28 + 2 + 577 + 6 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 2878282577592 and 2878282577601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2878282577663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4003174297 + ... + 4003175015.

It is an arithmetic number, because the mean of its divisors is an integer number (11221560000).

Almost surely, 2^{2878282577664} is an apocalyptic number.

2878282577664 is a gapful number since it is divisible by the number (24) 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 2878282577664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4847713920000).

2878282577664 is an abundant number, since it is smaller than the sum of its proper divisors (6817145262336).

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

2878282577664 is a wasteful number, since it uses less digits than its factorization.

2878282577664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 942 (or 909 counting only the distinct ones).

The product of its digits is 1011548160, while the sum is 72.

The spelling of 2878282577664 in words is "two trillion, eight hundred seventy-eight billion, two hundred eighty-two million, five hundred seventy-seven thousand, six hundred sixty-four".