2775468084480 has 864 divisors, whose sum is σ = 12256729115904. Its totient is φ = 585587294208.

The previous prime is 2775468084479. The next prime is 2775468084577. The reversal of 2775468084480 is 844808645772.

2775468084480 is a `hidden beast` number, since 2 + 7 + 7 + 546 + 8 + 0 + 8 + 4 + 4 + 80 = 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 (63).

It is a congruent number.

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, 28255612 + ... + 28353668.

Almost surely, 2^{2775468084480} is an apocalyptic number.

2775468084480 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 2775468084480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6128364557952).

2775468084480 is an abundant number, since it is smaller than the sum of its proper divisors (9481261031424).

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

2775468084480 is an equidigital number, since it uses as much as digits as its factorization.

2775468084480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98113 (or 98087 counting only the distinct ones).

The product of its (nonzero) digits is 96337920, while the sum is 63.

The spelling of 2775468084480 in words is "two trillion, seven hundred seventy-five billion, four hundred sixty-eight million, eighty-four thousand, four hundred eighty".