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2544220140 = 22357211151521
BaseRepresentation
bin1001011110100101…
…1011011111101100
320120022101202220120
42113221123133230
520202310021030
61100243244540
7120022341300
oct22751333754
96508352816
102544220140
111096167280
125b0079750
13317142b07
141a1c81d00
15ed563010
hex97a5b7ec

2544220140 has 288 divisors, whose sum is σ = 9117577728. Its totient is φ = 524160000.

The previous prime is 2544220123. The next prime is 2544220169. The reversal of 2544220140 is 410224452.

It is a happy number.

It is a super-2 number, since 2×25442201402 = 12946112241563239200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2544220140.

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, 4883080 + ... + 4883600.

It is an arithmetic number, because the mean of its divisors is an integer number (31658256).

Almost surely, 22544220140 is an apocalyptic number.

2544220140 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 2544220140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4558788864).

2544220140 is an abundant number, since it is smaller than the sum of its proper divisors (6573357588).

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

2544220140 is a wasteful number, since it uses less digits than its factorization.

2544220140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 709 (or 700 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 24.

The square root of 2544220140 is about 50440.2630841672. The cubic root of 2544220140 is about 1365.1642143002.

Adding to 2544220140 its reverse (410224452), we get a palindrome (2954444592).

The spelling of 2544220140 in words is "two billion, five hundred forty-four million, two hundred twenty thousand, one hundred forty".