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2039494464 = 2634733137
BaseRepresentation
bin111100110010000…
…0011011101000000
312021010200001110000
41321210003131000
513134102310324
6534213240000
7101353263000
oct17144033500
95233601400
102039494464
11957272417
1248b033000
132666c4a77
14154c1a000
15be0b49c9
hex79903740

2039494464 has 560 divisors, whose sum is σ = 7474508800. Its totient is φ = 548674560.

The previous prime is 2039494463. The next prime is 2039494481. The reversal of 2039494464 is 4644949302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2039494463) 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 79 ways as a sum of consecutive naturals, for example, 55121454 + ... + 55121490.

Almost surely, 22039494464 is an apocalyptic number.

2039494464 is a gapful number since it is divisible by the number (24) 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 2039494464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3737254400).

2039494464 is an abundant number, since it is smaller than the sum of its proper divisors (5435014336).

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

2039494464 is an equidigital number, since it uses as much as digits as its factorization.

2039494464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The square root of 2039494464 is about 45160.7624382051. The cubic root of 2039494464 is about 1268.1603687477.

The spelling of 2039494464 in words is "two billion, thirty-nine million, four hundred ninety-four thousand, four hundred sixty-four".