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2049790680 = 23325719311381
BaseRepresentation
bin111101000101101…
…0101001011011000
312021212001011012100
41322023111023120
513144221300210
6535222043400
7101536635060
oct17213251330
95255034170
102049790680
11962065093
12492579560
1326888b3c2
1415633a3a0
15bee4a5c0
hex7a2d52d8

2049790680 has 384 divisors, whose sum is σ = 8278732800. Its totient is φ = 429235200.

The previous prime is 2049790669. The next prime is 2049790727. The reversal of 2049790680 is 860979402.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1483590 + ... + 1484970.

It is an arithmetic number, because the mean of its divisors is an integer number (21559200).

Almost surely, 22049790680 is an apocalyptic number.

2049790680 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 2049790680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4139366400).

2049790680 is an abundant number, since it is smaller than the sum of its proper divisors (6228942120).

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

2049790680 is a wasteful number, since it uses less digits than its factorization.

2049790680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1455 (or 1448 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 2049790680 is about 45274.6140789737. The cubic root of 2049790680 is about 1270.2908544988.

The spelling of 2049790680 in words is "two billion, forty-nine million, seven hundred ninety thousand, six hundred eighty".