2145769920 has 448 divisors, whose sum is σ = 9164482560. Its totient is φ = 461389824.

The previous prime is 2145769919. The next prime is 2145769931. The reversal of 2145769920 is 299675412.

It is a tau number, because it is divible by the number of its divisors (448).

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1027117 + ... + 1029203.

Almost surely, 2^2145769920 is an apocalyptic number.

2145769920 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 2145769920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4582241280).

2145769920 is an abundant number, since it is smaller than the sum of its proper divisors (7018712640).

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

2145769920 is a wasteful number, since it uses less digits than its factorization.

2145769920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2137 (or 2121 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 2145769920 is about 46322.4558934433. The cubic root of 2145769920 is about 1289.8158742071.

It can be divided in two parts, 2145769 and 920, that added together give a cube (2146689 = 129³).

The spelling of 2145769920 in words is "two billion, one hundred forty-five million, seven hundred sixty-nine thousand, nine hundred twenty".