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2039744916 = 22371124147
BaseRepresentation
bin111100110010100…
…0000100110010100
312021011010210000000
41321211000212110
513134133314131
6534222451300
7101355355116
oct17145004624
95234123000
102039744916
11957423600
1248b133b30
13266781a71
14154c833b6
15be113ce6
hex79940994

2039744916 has 288 divisors, whose sum is σ = 6156218880. Its totient is φ = 590198400.

The previous prime is 2039744911. The next prime is 2039744921. The reversal of 2039744916 is 6194479302.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2039744911) and next prime (2039744921).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2039744911) by changing a digit.

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, 43398805 + ... + 43398851.

It is an arithmetic number, because the mean of its divisors is an integer number (21375760).

Almost surely, 22039744916 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 2039744916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3078109440).

2039744916 is an abundant number, since it is smaller than the sum of its proper divisors (4116473964).

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

2039744916 is a wasteful number, since it uses less digits than its factorization.

2039744916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 2039744916 is about 45163.5352469224. The cubic root of 2039744916 is about 1268.2122770851.

The spelling of 2039744916 in words is "two billion, thirty-nine million, seven hundred forty-four thousand, nine hundred sixteen".