2542732920 has 192 divisors, whose sum is σ = 10171062720. Its totient is φ = 536481792.

The previous prime is 2542732903. The next prime is 2542732921. The reversal of 2542732920 is 292372452.

2542732920 is a `hidden beast` number, since 2 + 542 + 73 + 29 + 20 = 666.

2542732920 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2542732921) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6049 + ... + 71568.

It is an arithmetic number, because the mean of its divisors is an integer number (52974285).

Almost surely, 2^2542732920 is an apocalyptic number.

2542732920 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 2542732920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5085531360).

2542732920 is an abundant number, since it is smaller than the sum of its proper divisors (7628329800).

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

2542732920 is a wasteful number, since it uses less digits than its factorization.

2542732920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77654 (or 77647 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 2542732920 is about 50425.5185397235. The cubic root of 2542732920 is about 1364.8981609004.

The spelling of 2542732920 in words is "two billion, five hundred forty-two million, seven hundred thirty-two thousand, nine hundred twenty".