2142461552 has 80 divisors (see below), whose sum is σ = 5216428032. Its totient is φ = 828092160.

The previous prime is 2142461551. The next prime is 2142461617. The reversal of 2142461552 is 2551642412.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2142461551) 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, 149618 + ... + 163310.

Almost surely, 2^2142461552 is an apocalyptic number.

2142461552 is a gapful number since it is divisible by the number (22) 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 2142461552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2608214016).

2142461552 is an abundant number, since it is smaller than the sum of its proper divisors (3073966480).

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

2142461552 is a wasteful number, since it uses less digits than its factorization.

2142461552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13846 (or 13840 counting only the distinct ones).

The product of its digits is 19200, while the sum is 32.

The square root of 2142461552 is about 46286.7319217937. The cubic root of 2142461552 is about 1289.1526498687.

The spelling of 2142461552 in words is "two billion, one hundred forty-two million, four hundred sixty-one thousand, five hundred fifty-two".