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2940219072 = 26327751971
BaseRepresentation
bin1010111101000000…
…0010111011000000
321120220112121022200
42233100002323000
522010144002242
61203431033200
7132601310160
oct25720027300
97526477280
102940219072
11127974a11a
126a080b800
1337b1b31cb
141dc6c45a0
151231d604c
hexaf402ec0

2940219072 has 168 divisors, whose sum is σ = 9654308352. Its totient is φ = 838080000.

The previous prime is 2940219059. The next prime is 2940219103. The reversal of 2940219072 is 2709120492.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 23 ways as a sum of consecutive naturals, for example, 3027547 + ... + 3028517.

Almost surely, 22940219072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2940219072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4827154176).

2940219072 is an abundant number, since it is smaller than the sum of its proper divisors (6714089280).

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

2940219072 is a wasteful number, since it uses less digits than its factorization.

2940219072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1747 (or 1734 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 2940219072 is about 54223.7869573861. The cubic root of 2940219072 is about 1432.6053327515.

The spelling of 2940219072 in words is "two billion, nine hundred forty million, two hundred nineteen thousand, seventy-two".