2764473147840 has 224 divisors, whose sum is σ = 9295036934400. Its totient is φ = 693714436096.

The previous prime is 2764473147809. The next prime is 2764473147883. The reversal of 2764473147840 is 487413744672.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 146266711 + ... + 146285609.

It is an arithmetic number, because the mean of its divisors is an integer number (41495700600).

Almost surely, 2^{2764473147840} is an apocalyptic number.

2764473147840 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 2764473147840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4647518467200).

2764473147840 is an abundant number, since it is smaller than the sum of its proper divisors (6530563786560).

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

2764473147840 is a wasteful number, since it uses less digits than its factorization.

2764473147840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27899 (or 27889 counting only the distinct ones).

The product of its (nonzero) digits is 25288704, while the sum is 57.

The spelling of 2764473147840 in words is "two trillion, seven hundred sixty-four billion, four hundred seventy-three million, one hundred forty-seven thousand, eight hundred forty".