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2240783424 = 2632112511409
BaseRepresentation
bin1000010110001111…
…1010010001000000
312210011102120222200
42011203322101000
514042120032144
61010203433200
7106346226165
oct20543722100
95704376880
102240783424
11a4a955830
12526525800
13299310969
1417385606c
15d1ac5c69
hex858fa440

2240783424 has 168 divisors, whose sum is σ = 7039599840. Its totient is φ = 675840000.

The previous prime is 2240783417. The next prime is 2240783431. The reversal of 2240783424 is 4243870422.

2240783424 is a `hidden beast` number, since 2 + 240 + 78 + 342 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (2240783417) and next prime (2240783431).

It is a super-2 number, since 2×22407834242 = 10042220706546327552, which contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 1589632 + ... + 1591040.

It is an arithmetic number, because the mean of its divisors is an integer number (41902380).

Almost surely, 22240783424 is an apocalyptic number.

2240783424 is a gapful number since it is divisible by the number (24) 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 2240783424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3519799920).

2240783424 is an abundant number, since it is smaller than the sum of its proper divisors (4798816416).

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

2240783424 is a wasteful number, since it uses less digits than its factorization.

2240783424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1689 (or 1676 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 36.

The square root of 2240783424 is about 47336.9139678539. The cubic root of 2240783424 is about 1308.5790439062.

The spelling of 2240783424 in words is "two billion, two hundred forty million, seven hundred eighty-three thousand, four hundred twenty-four".