2770342848000 has 1920 divisors, whose sum is σ = 13007519965440. Its totient is φ = 549951897600.

The previous prime is 2770342847959. The next prime is 2770342848001. The reversal of 2770342848000 is 8482430772.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-2 number, since 2×2770342848000² (a number of 26 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2770342848001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 891070446 + ... + 891073554.

It is an arithmetic number, because the mean of its divisors is an integer number (6774749982).

Almost surely, 2^{2770342848000} is an apocalyptic number.

2770342848000 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 2770342848000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6503759982720).

2770342848000 is an abundant number, since it is smaller than the sum of its proper divisors (10237177117440).

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

2770342848000 is a wasteful number, since it uses less digits than its factorization.

2770342848000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3185 (or 3156 counting only the distinct ones).

The product of its (nonzero) digits is 602112, while the sum is 45.

The spelling of 2770342848000 in words is "two trillion, seven hundred seventy billion, three hundred forty-two million, eight hundred forty-eight thousand".