2148672960 has 224 divisors, whose sum is σ = 8663147520. Its totient is φ = 491111424.

The previous prime is 2148672943. The next prime is 2148672973. The reversal of 2148672960 is 692768412.

It is a happy number.

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

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 31 ways as a sum of consecutive naturals, for example, 42717 + ... + 78243.

Almost surely, 2^2148672960 is an apocalyptic number.

2148672960 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 2148672960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4331573760).

2148672960 is an abundant number, since it is smaller than the sum of its proper divisors (6514474560).

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

2148672960 is a wasteful number, since it uses less digits than its factorization.

2148672960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35560 (or 35544 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 2148672960 is about 46353.7804283534. The cubic root of 2148672960 is about 1290.3972816387.

The spelling of 2148672960 in words is "two billion, one hundred forty-eight million, six hundred seventy-two thousand, nine hundred sixty".