542121984 has 280 divisors, whose sum is σ = 1744461840. Its totient is φ = 167215104.

The previous prime is 542121953. The next prime is 542121989. The reversal of 542121984 is 489121245.

542121984 = 241³ + 242³ + ... + 272³.

542121984 is a `hidden beast` number, since 542 + 1 + 21 + 98 + 4 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (542121989) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 12607467 + ... + 12607509.

Almost surely, 2^542121984 is an apocalyptic number.

542121984 is a gapful number since it is divisible by the number (54) 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 542121984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (872230920).

542121984 is an abundant number, since it is smaller than the sum of its proper divisors (1202339856).

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

542121984 is an equidigital number, since it uses as much as digits as its factorization.

542121984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 67 counting only the distinct ones).

The product of its digits is 23040, while the sum is 36.

The square root of 542121984 is about 23283.5131369817. The cubic root of 542121984 is about 815.3905483882.

The spelling of 542121984 in words is "five hundred forty-two million, one hundred twenty-one thousand, nine hundred eighty-four".