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2084031040 = 265713591213
BaseRepresentation
bin111110000110111…
…1100101001000000
312101020110202010211
41330031330221000
513232002443130
6542444003504
7102433654150
oct17415745100
95336422124
102084031040
1197a421403
124a1b30594
132729b9480
1415aad0760
15c2e60a2a
hex7c37ca40

2084031040 has 224 divisors, whose sum is σ = 6216456960. Its totient is φ = 647847936.

The previous prime is 2084031029. The next prime is 2084031043. The reversal of 2084031040 is 401304802.

It is a tau number, because it is divible by the number of its divisors (224).

It is not an unprimeable number, because it can be changed into a prime (2084031043) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1717474 + ... + 1718686.

It is an arithmetic number, because the mean of its divisors is an integer number (27752040).

Almost surely, 22084031040 is an apocalyptic number.

2084031040 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 2084031040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3108228480).

2084031040 is an abundant number, since it is smaller than the sum of its proper divisors (4132425920).

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

2084031040 is a wasteful number, since it uses less digits than its factorization.

2084031040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1309 (or 1299 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 2084031040 is about 45651.1888125600. The cubic root of 2084031040 is about 1277.3249471960.

Adding to 2084031040 its reverse (401304802), we get a palindrome (2485335842).

The spelling of 2084031040 in words is "two billion, eighty-four million, thirty-one thousand, forty".