2152542040 has 128 divisors (see below), whose sum is σ = 5775390720. Its totient is φ = 712857600.

The previous prime is 2152542019. The next prime is 2152542043. The reversal of 2152542040 is 402452512.

It is a junction number, because it is equal to n+sod(n) for n = 2152541996 and 2152542014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2152542043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 227239 + ... + 236521.

It is an arithmetic number, because the mean of its divisors is an integer number (45120240).

Almost surely, 2^2152542040 is an apocalyptic number.

2152542040 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 2152542040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2887695360).

2152542040 is an abundant number, since it is smaller than the sum of its proper divisors (3622848680).

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

2152542040 is a wasteful number, since it uses less digits than its factorization.

2152542040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9353 (or 9349 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 25.

The square root of 2152542040 is about 46395.4959020808. The cubic root of 2152542040 is about 1291.1713495826.

Adding to 2152542040 its reverse (402452512), we get a palindrome (2554994552).

The spelling of 2152542040 in words is "two billion, one hundred fifty-two million, five hundred forty-two thousand, forty".