2142551952 has 80 divisors (see below), whose sum is σ = 6171271680. Its totient is φ = 711704448.

The previous prime is 2142551947. The next prime is 2142551953. The reversal of 2142551952 is 2591552412.

2142551952 is a `hidden beast` number, since 2 + 14 + 2 + 551 + 95 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (2142551953) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 118113 + ... + 135039.

It is an arithmetic number, because the mean of its divisors is an integer number (77140896).

Almost surely, 2^2142551952 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 2142551952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3085635840).

2142551952 is an abundant number, since it is smaller than the sum of its proper divisors (4028719728).

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

2142551952 is a wasteful number, since it uses less digits than its factorization.

2142551952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17237 (or 17225 counting only the distinct ones).

The product of its digits is 36000, while the sum is 36.

The square root of 2142551952 is about 46287.7084332331. The cubic root of 2142551952 is about 1289.1707813120.

The spelling of 2142551952 in words is "two billion, one hundred forty-two million, five hundred fifty-one thousand, nine hundred fifty-two".