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2996969040 = 24325132961181
BaseRepresentation
bin1011001010100010…
…0001111001010000
321201212022210122100
42302220201321100
522114211002130
61213215240400
7134160550032
oct26250417120
97655283570
102996969040
1112a879021a
126b7819100
13389b92a80
14206057c52
15128195c60
hexb2a21e50

2996969040 has 480 divisors, whose sum is σ = 11459579040. Its totient is φ = 696729600.

The previous prime is 2996969033. The next prime is 2996969093. The reversal of 2996969040 is 409696992.

It can be written as a sum of positive squares in 16 ways, for example, as 2765077056 + 231891984 = 52584^2 + 15228^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16557750 + ... + 16557930.

It is an arithmetic number, because the mean of its divisors is an integer number (23874123).

Almost surely, 22996969040 is an apocalyptic number.

2996969040 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 2996969040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5729789520).

2996969040 is an abundant number, since it is smaller than the sum of its proper divisors (8462610000).

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

2996969040 is a wasteful number, since it uses less digits than its factorization.

2996969040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 1889568, while the sum is 54.

The square root of 2996969040 is about 54744.5800056955. The cubic root of 2996969040 is about 1441.7636954457.

The spelling of 2996969040 in words is "two billion, nine hundred ninety-six million, nine hundred sixty-nine thousand, forty".