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2042447400 = 233452723183
BaseRepresentation
bin111100110111101…
…0100011000101000
312021100020002010000
41321233110120220
513140331304100
6534400423000
7101420342100
oct17157243050
95240202100
102042447400
119589a9a64
12490017a60
132671b9b76
14155388200
15be499900
hex79bd4628

2042447400 has 720 divisors, whose sum is σ = 8620698240. Its totient is φ = 446342400.

The previous prime is 2042447377. The next prime is 2042447413. The reversal of 2042447400 is 47442402.

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 179 ways as a sum of consecutive naturals, for example, 24607759 + ... + 24607841.

It is an arithmetic number, because the mean of its divisors is an integer number (11973192).

Almost surely, 22042447400 is an apocalyptic number.

2042447400 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 2042447400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4310349120).

2042447400 is an abundant number, since it is smaller than the sum of its proper divisors (6578250840).

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

2042447400 is a wasteful number, since it uses less digits than its factorization.

2042447400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 27.

The square root of 2042447400 is about 45193.4442148416. Note that the first 3 decimals coincide. The cubic root of 2042447400 is about 1268.7721201058.

Adding to 2042447400 its reverse (47442402), we get a palindrome (2089889802).

The spelling of 2042447400 in words is "two billion, forty-two million, four hundred forty-seven thousand, four hundred".