2045192760 has 512 divisors, whose sum is σ = 7844659200. Its totient is φ = 470292480.

The previous prime is 2045192759. The next prime is 2045192761. The reversal of 2045192760 is 672915402.

It is an interprime number because it is at equal distance from previous prime (2045192759) and next prime (2045192761).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2045192761) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 16103817 + ... + 16103943.

It is an arithmetic number, because the mean of its divisors is an integer number (15321600).

Almost surely, 2^2045192760 is an apocalyptic number.

2045192760 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 2045192760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3922329600).

2045192760 is an abundant number, since it is smaller than the sum of its proper divisors (5799466440).

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

2045192760 is a wasteful number, since it uses less digits than its factorization.

2045192760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 2045192760 is about 45223.8074469632. The cubic root of 2045192760 is about 1269.3403398350.

The spelling of 2045192760 in words is "two billion, forty-five million, one hundred ninety-two thousand, seven hundred sixty".