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2054244240 = 24355251421
BaseRepresentation
bin111101001110001…
…0100011110010000
312022011102102100000
41322130110132100
513201341303430
6535501330000
7101622534156
oct17234243620
95264372300
102054244240
11964627114
12493b66900
1326978a549
14156b793d6
15c0529e60
hex7a714790

2054244240 has 240 divisors, whose sum is σ = 7199914176. Its totient is φ = 544320000.

The previous prime is 2054244221. The next prime is 2054244251. The reversal of 2054244240 is 424424502.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4879230 + ... + 4879650.

Almost surely, 22054244240 is an apocalyptic number.

2054244240 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 2054244240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3599957088).

2054244240 is an abundant number, since it is smaller than the sum of its proper divisors (5145669936).

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

2054244240 is a wasteful number, since it uses less digits than its factorization.

2054244240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 700 (or 682 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 27.

The square root of 2054244240 is about 45323.7712464442. The cubic root of 2054244240 is about 1271.2101718276.

Adding to 2054244240 its reverse (424424502), we get a palindrome (2478668742).

The spelling of 2054244240 in words is "two billion, fifty-four million, two hundred forty-four thousand, two hundred forty".