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2040509484 = 223213192941193
BaseRepresentation
bin111100110011111…
…1011010000101100
312021012120121210100
41321213323100230
513134332300414
6534251111100
7101365021146
oct17147732054
95235517710
102040509484
119578a5a82
1248b442490
1326698ba80
14155001c96
15be215609
hex799fb42c

2040509484 has 288 divisors, whose sum is σ = 6228331200. Its totient is φ = 557383680.

The previous prime is 2040509479. The next prime is 2040509491. The reversal of 2040509484 is 4849050402.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10572492 + ... + 10572684.

It is an arithmetic number, because the mean of its divisors is an integer number (21626150).

Almost surely, 22040509484 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 2040509484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3114165600).

2040509484 is an abundant number, since it is smaller than the sum of its proper divisors (4187821716).

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

2040509484 is a wasteful number, since it uses less digits than its factorization.

2040509484 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 2040509484 is about 45171.9988931196. The cubic root of 2040509484 is about 1268.3707141182.

Adding to 2040509484 its reverse (4849050402), we get a palindrome (6889559886).

The spelling of 2040509484 in words is "two billion, forty million, five hundred nine thousand, four hundred eighty-four".