542906240 has 64 divisors (see below), whose sum is σ = 1309545360. Its totient is φ = 215212032.

The previous prime is 542906239. The next prime is 542906251. The reversal of 542906240 is 42609245.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 542906197 and 542906206.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 68567 + ... + 76073.

Almost surely, 2^542906240 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 542906240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (654772680).

542906240 is an abundant number, since it is smaller than the sum of its proper divisors (766639120).

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

542906240 is a wasteful number, since it uses less digits than its factorization.

542906240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7639 (or 7627 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 32.

The square root of 542906240 is about 23300.3484952479. The cubic root of 542906240 is about 815.7835514593.

The spelling of 542906240 in words is "five hundred forty-two million, nine hundred six thousand, two hundred forty".