2142649152 has 224 divisors, whose sum is σ = 7578547200. Its totient is φ = 579902976.

The previous prime is 2142649121. The next prime is 2142649163. The reversal of 2142649152 is 2519462412.

It is a happy number.

2142649152 is a `hidden beast` number, since 2 + 1 + 4 + 2 + 649 + 1 + 5 + 2 = 666.

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 (36).

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, 225163 + ... + 234485.

It is an arithmetic number, because the mean of its divisors is an integer number (33832800).

Almost surely, 2^2142649152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2142649152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3789273600).

2142649152 is an abundant number, since it is smaller than the sum of its proper divisors (5435898048).

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

2142649152 is a wasteful number, since it uses less digits than its factorization.

2142649152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9370 (or 9354 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 2142649152 is about 46288.7583760895. The cubic root of 2142649152 is about 1289.1902760560.

The spelling of 2142649152 in words is "two billion, one hundred forty-two million, six hundred forty-nine thousand, one hundred fifty-two".