2153077542 has 144 divisors (see below), whose sum is σ = 5946400512. Its totient is φ = 558376560.

The previous prime is 2153077529. The next prime is 2153077547. The reversal of 2153077542 is 2457703512.

2153077542 is a `hidden beast` number, since 2 + 1 + 530 + 77 + 54 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2153077497 and 2153077506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2153077547) 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 71 ways as a sum of consecutive naturals, for example, 3327463 + ... + 3328109.

It is an arithmetic number, because the mean of its divisors is an integer number (41294448).

Almost surely, 2^2153077542 is an apocalyptic number.

2153077542 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2153077542, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2973200256).

2153077542 is an abundant number, since it is smaller than the sum of its proper divisors (3793322970).

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

2153077542 is an equidigital number, since it uses as much as digits as its factorization.

2153077542 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 701 (or 670 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 36.

The square root of 2153077542 is about 46401.2665990919. The cubic root of 2153077542 is about 1291.2784117597.

The spelling of 2153077542 in words is "two billion, one hundred fifty-three million, seventy-seven thousand, five hundred forty-two".