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2240052104000 = 26532912777561
BaseRepresentation
bin100000100110001101100…
…000101000101101000000
321221010222002020020012202
4200212031200220231000
5243200111314312000
64433022110412332
7320560402502414
oct40461540505500
97833862206182
102240052104000
11794001018587
12302178b010a8
1313330b679a69
147a5c2022d44
153d4077cbdd5
hex2098d828b40

2240052104000 has 224 divisors, whose sum is σ = 5744035308960. Its totient is φ = 864331776000.

The previous prime is 2240052103999. The next prime is 2240052104023. The reversal of 2240052104000 is 4012500422.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 1674042647104 + 566009456896 = 1293848^2 + 752336^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 296260220 + ... + 296267780.

Almost surely, 22240052104000 is an apocalyptic number.

2240052104000 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 2240052104000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2872017654480).

2240052104000 is an abundant number, since it is smaller than the sum of its proper divisors (3503983204960).

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

2240052104000 is a wasteful number, since it uses less digits than its factorization.

2240052104000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8894 (or 8874 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

Adding to 2240052104000 its reverse (4012500422), we get a palindrome (2244064604422).

The spelling of 2240052104000 in words is "two trillion, two hundred forty billion, fifty-two million, one hundred four thousand".