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2469793920 = 273511210631
BaseRepresentation
bin1001001100110110…
…0001000010000000
320101010100112022220
42103031201002000
520024231401140
61045024131040
7115126621236
oct22315410200
96333315286
102469793920
111058152800
1258b166a80
133048b4729
1419602a956
15e6c60bd0
hex93361080

2469793920 has 192 divisors, whose sum is σ = 8654022720. Its totient is φ = 598681600.

The previous prime is 2469793897. The next prime is 2469793927. The reversal of 2469793920 is 293979642.

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

It is not an unprimeable number, because it can be changed into a prime (2469793927) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 227005 + ... + 237635.

It is an arithmetic number, because the mean of its divisors is an integer number (45073035).

Almost surely, 22469793920 is an apocalyptic number.

2469793920 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 2469793920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4327011360).

2469793920 is an abundant number, since it is smaller than the sum of its proper divisors (6184228800).

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

2469793920 is a wasteful number, since it uses less digits than its factorization.

2469793920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10675 (or 10652 counting only the distinct ones).

The product of its (nonzero) digits is 1469664, while the sum is 51.

The square root of 2469793920 is about 49697.0212387020. The cubic root of 2469793920 is about 1351.7205169061.

The spelling of 2469793920 in words is "two billion, four hundred sixty-nine million, seven hundred ninety-three thousand, nine hundred twenty".