542661240 has 256 divisors, whose sum is σ = 1875363840. Its totient is φ = 124416000.

The previous prime is 542661239. The next prime is 542661257. The reversal of 542661240 is 42166245.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 542661198 and 542661207.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2002305 + ... + 2002575.

It is an arithmetic number, because the mean of its divisors is an integer number (7325640).

Almost surely, 2^542661240 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 542661240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (937681920).

542661240 is an abundant number, since it is smaller than the sum of its proper divisors (1332702600).

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

542661240 is a wasteful number, since it uses less digits than its factorization.

542661240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 542661240 is about 23295.0904698823. The cubic root of 542661240 is about 815.6608187614.

It can be divided in two parts, 5426 and 61240, that added together give a palindrome (66666).

The spelling of 542661240 in words is "five hundred forty-two million, six hundred sixty-one thousand, two hundred forty".