2148045760 has 224 divisors, whose sum is σ = 6308628480. Its totient is φ = 680140800.

The previous prime is 2148045749. The next prime is 2148045797. The reversal of 2148045760 is 675408412.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×2148045760² = 9228201174107955200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1744345 + ... + 1745575.

It is an arithmetic number, because the mean of its divisors is an integer number (28163520).

Almost surely, 2^2148045760 is an apocalyptic number.

2148045760 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 2148045760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3154314240).

2148045760 is an abundant number, since it is smaller than the sum of its proper divisors (4160582720).

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

2148045760 is a wasteful number, since it uses less digits than its factorization.

2148045760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1315 (or 1305 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 37.

The square root of 2148045760 is about 46347.0145748353. The cubic root of 2148045760 is about 1290.2717132915.

The spelling of 2148045760 in words is "two billion, one hundred forty-eight million, forty-five thousand, seven hundred sixty".