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2040809472 = 211331317167
BaseRepresentation
bin111100110100100…
…0100100000000000
312021020010212022000
41321221010200000
513134421400342
6534301344000
7101400410562
oct17151044000
95236125260
102040809472
11957a903a9
1248b568000
13266a65490
1415507d332
15be27444c
hex79a44800

2040809472 has 384 divisors, whose sum is σ = 6934636800. Its totient is φ = 587464704.

The previous prime is 2040809429. The next prime is 2040809497. The reversal of 2040809472 is 2749080402.

It is a tau number, because it is divible by the number of its divisors (384).

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 31 ways as a sum of consecutive naturals, for example, 12220333 + ... + 12220499.

It is an arithmetic number, because the mean of its divisors is an integer number (18058950).

Almost surely, 22040809472 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 2040809472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3467318400).

2040809472 is an abundant number, since it is smaller than the sum of its proper divisors (4893827328).

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

2040809472 is a wasteful number, since it uses less digits than its factorization.

2040809472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 2040809472 is about 45175.3192794473. The cubic root of 2040809472 is about 1268.4328680969.

Adding to 2040809472 its reverse (2749080402), we get a palindrome (4789889874).

The spelling of 2040809472 in words is "two billion, forty million, eight hundred nine thousand, four hundred seventy-two".