Search a number
-
+
2040940880 = 2451122389103
BaseRepresentation
bin111100110100110…
…0100100101010000
312021020101112112222
41321221210211100
513134440102010
6534304240212
7101401465646
oct17151444520
95236345488
102040940880
11958070100
1248b610068
13266ab0234
141550b5196
15be29d355
hex79a64950

2040940880 has 240 divisors, whose sum is σ = 5557144320. Its totient is φ = 695101440.

The previous prime is 2040940861. The next prime is 2040940919. The reversal of 2040940880 is 880490402.

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 2040940880.

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, 19814909 + ... + 19815011.

It is an arithmetic number, because the mean of its divisors is an integer number (23154768).

Almost surely, 22040940880 is an apocalyptic number.

2040940880 is a gapful number since it is divisible by the number (20) 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 2040940880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2778572160).

2040940880 is an abundant number, since it is smaller than the sum of its proper divisors (3516203440).

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

2040940880 is a wasteful number, since it uses less digits than its factorization.

2040940880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 35.

The square root of 2040940880 is about 45176.7736785176. The cubic root of 2040940880 is about 1268.4600923677.

The spelling of 2040940880 in words is "two billion, forty million, nine hundred forty thousand, eight hundred eighty".