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2041297920 = 210325311429
BaseRepresentation
bin111100110101011…
…1011110000000000
312021021001200022200
41321222323300000
513140033013140
6534320033200
7101404513614
oct17152736000
95237050280
102041297920
11958294382
1248b762800
13266ba68bc
14155169344
15be31e030
hex79abbc00

2041297920 has 264 divisors, whose sum is σ = 7306316160. Its totient is φ = 526417920.

The previous prime is 2041297897. The next prime is 2041297939. The reversal of 2041297920 is 297921402.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1427766 + ... + 1429194.

It is an arithmetic number, because the mean of its divisors is an integer number (27675440).

Almost surely, 22041297920 is an apocalyptic number.

2041297920 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 2041297920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3653158080).

2041297920 is an abundant number, since it is smaller than the sum of its proper divisors (5265018240).

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

2041297920 is a wasteful number, since it uses less digits than its factorization.

2041297920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1491 (or 1470 counting only the distinct ones).

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

The square root of 2041297920 is about 45180.7250937831. The cubic root of 2041297920 is about 1268.5340557357.

The spelling of 2041297920 in words is "two billion, forty-one million, two hundred ninety-seven thousand, nine hundred twenty".