2045167740000 has 2880 divisors, whose sum is σ = 9593970946560. Its totient is φ = 400896000000.

The previous prime is 2045167739999. The next prime is 2045167740043. The reversal of 2045167740000 is 477615402.

It is a super-2 number, since 2×2045167740000² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 33527339970 + ... + 33527340030.

It is an arithmetic number, because the mean of its divisors is an integer number (3331239912).

Almost surely, 2^{2045167740000} is an apocalyptic number.

2045167740000 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 2045167740000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4796985473280).

2045167740000 is an abundant number, since it is smaller than the sum of its proper divisors (7548803206560).

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

2045167740000 is a wasteful number, since it uses less digits than its factorization.

2045167740000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The spelling of 2045167740000 in words is "two trillion, forty-five billion, one hundred sixty-seven million, seven hundred forty thousand".