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2040739272 = 233611132447
BaseRepresentation
bin111100110100011…
…0011010111001000
312021020000022000000
41321220303113020
513134412124042
6534300043000
7101366666115
oct17150632710
95236008000
102040739272
11957a42690
1248b533460
13266a3c540
1415506190c
15be25d74c
hex79a335c8

2040739272 has 224 divisors, whose sum is σ = 6742673280. Its totient is φ = 570602880.

The previous prime is 2040739249. The next prime is 2040739291. The reversal of 2040739272 is 2729370402.

2040739272 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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 55 ways as a sum of consecutive naturals, for example, 832753 + ... + 835199.

It is an arithmetic number, because the mean of its divisors is an integer number (30101220).

Almost surely, 22040739272 is an apocalyptic number.

2040739272 is a gapful number since it is divisible by the number (22) 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 2040739272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3371336640).

2040739272 is an abundant number, since it is smaller than the sum of its proper divisors (4701934008).

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

2040739272 is a wasteful number, since it uses less digits than its factorization.

2040739272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2495 (or 2476 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 2040739272 is about 45174.5422998396. The cubic root of 2040739272 is about 1268.4183240300.

The spelling of 2040739272 in words is "two billion, forty million, seven hundred thirty-nine thousand, two hundred seventy-two".