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2996691840 = 273252232333
BaseRepresentation
bin1011001010011101…
…1110001110000000
321201211210201101200
42302213132032000
522114123114330
61213205301200
7134155313622
oct26247361600
97654721350
102996691840
1112a8610a2a
126b7704800
13389ac684c
14205dc4c12
1512813da60
hexb29de380

2996691840 has 192 divisors, whose sum is σ = 10398810240. Its totient is φ = 795193344.

The previous prime is 2996691823. The next prime is 2996691851. The reversal of 2996691840 is 481966992.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

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, 1283314 + ... + 1285646.

It is an arithmetic number, because the mean of its divisors is an integer number (54160470).

It is a vampire number, since it can be written as 4281669990 (with its own digits).

Almost surely, 22996691840 is an apocalyptic number.

2996691840 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 2996691840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5199405120).

2996691840 is an abundant number, since it is smaller than the sum of its proper divisors (7402118400).

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

2996691840 is a wasteful number, since it uses less digits than its factorization.

2996691840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2581 (or 2566 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 54.

The square root of 2996691840 is about 54742.0481896686. The cubic root of 2996691840 is about 1441.7192428433.

The spelling of 2996691840 in words is "two billion, nine hundred ninety-six million, six hundred ninety-one thousand, eight hundred forty".