540093624030 has 96 divisors (see below), whose sum is σ = 1455523149600. Its totient is φ = 138785047296.

The previous prime is 540093623987. The next prime is 540093624053. The reversal of 540093624030 is 30426390045.

540093624030 is a `hidden beast` number, since 5 + 400 + 9 + 3 + 6 + 240 + 3 + 0 = 666.

It is a super-2 number, since 2×540093624030² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1125217 + ... + 1531763.

It is an arithmetic number, because the mean of its divisors is an integer number (15161699475).

Almost surely, 2^540093624030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 540093624030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (727761574800).

540093624030 is an abundant number, since it is smaller than the sum of its proper divisors (915429525570).

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

540093624030 is a wasteful number, since it uses less digits than its factorization.

540093624030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 407098 (or 407095 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The spelling of 540093624030 in words is "five hundred forty billion, ninety-three million, six hundred twenty-four thousand, thirty".