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2043414240 = 253572967313
BaseRepresentation
bin111100111001100…
…0000011011100000
312021102001012100220
41321303000123200
513141103223430
6534433243040
7101431506630
oct17163003340
95242035326
102043414240
119594aa3aa
12490403480
13267467c6a
1415555a6c0
15be5db110
hex79cc06e0

2043414240 has 384 divisors, whose sum is σ = 7748213760. Its totient is φ = 442810368.

The previous prime is 2043414227. The next prime is 2043414257. The reversal of 2043414240 is 424143402.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2043414240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6528324 + ... + 6528636.

It is an arithmetic number, because the mean of its divisors is an integer number (20177640).

Almost surely, 22043414240 is an apocalyptic number.

2043414240 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 2043414240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3874106880).

2043414240 is an abundant number, since it is smaller than the sum of its proper divisors (5704799520).

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

2043414240 is a wasteful number, since it uses less digits than its factorization.

2043414240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 434 (or 426 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 2043414240 is about 45204.1396334451. The cubic root of 2043414240 is about 1268.9722894591.

Adding to 2043414240 its reverse (424143402), we get a palindrome (2467557642).

The spelling of 2043414240 in words is "two billion, forty-three million, four hundred fourteen thousand, two hundred forty".