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2240002204440 = 23357111337504001
BaseRepresentation
bin100000100110001010100…
…010010010001100011000
321221010211121100001212220
4200212022202102030120
5243200011031020230
64433013125104040
7320556225403560
oct40461242221430
97833747301786
102240002204440
11793a85936280
12302164258020
131333012282b0
147a5b9553da0
153d403221d10
hex2098a892318

2240002204440 has 512 divisors, whose sum is σ = 9266540451840. Its totient is φ = 418037760000.

The previous prime is 2240002204331. The next prime is 2240002204457. The reversal of 2240002204440 is 444022000422.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2240002204440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4192440 + ... + 4696440.

It is an arithmetic number, because the mean of its divisors is an integer number (18098711820).

Almost surely, 22240002204440 is an apocalyptic number.

2240002204440 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 2240002204440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4633270225920).

2240002204440 is an abundant number, since it is smaller than the sum of its proper divisors (7026538247400).

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

2240002204440 is a wasteful number, since it uses less digits than its factorization.

2240002204440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 504083 (or 504079 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

Adding to 2240002204440 its reverse (444022000422), we get a palindrome (2684024204862).

It can be divided in two parts, 2240002 and 204440, that added together give a palindrome (2444442).

The spelling of 2240002204440 in words is "two trillion, two hundred forty billion, two million, two hundred four thousand, four hundred forty".