540252020 has 96 divisors (see below), whose sum is σ = 1463374080. Its totient is φ = 162570240.

The previous prime is 540252017. The next prime is 540252047. The reversal of 540252020 is 20252045.

It is a super-2 number, since 2×540252020² = 583744490228160800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 540251983 and 540252001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38612 + ... + 50708.

It is an arithmetic number, because the mean of its divisors is an integer number (15243480).

Almost surely, 2^540252020 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 540252020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (731687040).

540252020 is an abundant number, since it is smaller than the sum of its proper divisors (923122060).

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

540252020 is a wasteful number, since it uses less digits than its factorization.

540252020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12153 (or 12151 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 20.

The square root of 540252020 is about 23243.3220517206. The cubic root of 540252020 is about 814.4519481513.

The spelling of 540252020 in words is "five hundred forty million, two hundred fifty-two thousand, twenty".