2770234992000 has 2688 divisors, whose sum is σ = 12431322240480. Its totient is φ = 611380224000.

The previous prime is 2770234991999. The next prime is 2770234992059. The reversal of 2770234992000 is 2994320772.

It is a tau number, because it is divible by the number of its divisors (2688).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 21146831935 + ... + 21146832065.

Almost surely, 2^{2770234992000} is an apocalyptic number.

2770234992000 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 2770234992000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6215661120240).

2770234992000 is an abundant number, since it is smaller than the sum of its proper divisors (9661087248480).

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

2770234992000 is an equidigital number, since it uses as much as digits as its factorization.

2770234992000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The spelling of 2770234992000 in words is "two trillion, seven hundred seventy billion, two hundred thirty-four million, nine hundred ninety-two thousand".