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2550344940 = 223451113101109
BaseRepresentation
bin1001100000000011…
…0010110011101100
320120201220221120000
42120000302303230
520210342014230
61101022424300
7120125400663
oct23000626354
96521827500
102550344940
11109966a9a0
125b2132090
133184a8860
141a29d7dda
15edd72b60
hex98032cec

2550344940 has 480 divisors, whose sum is σ = 9579366720. Its totient is φ = 559872000.

The previous prime is 2550344933. The next prime is 2550344959. The reversal of 2550344940 is 494430552.

It is a happy number.

2550344940 is a `hidden beast` number, since 25 + 503 + 44 + 94 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2550344895 and 2550344904.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 23397606 + ... + 23397714.

It is an arithmetic number, because the mean of its divisors is an integer number (19957014).

Almost surely, 22550344940 is an apocalyptic number.

2550344940 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 2550344940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4789683360).

2550344940 is an abundant number, since it is smaller than the sum of its proper divisors (7029021780).

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

2550344940 is a wasteful number, since it uses less digits than its factorization.

2550344940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 2550344940 is about 50500.9399912516. The cubic root of 2550344940 is about 1366.2588073698.

The spelling of 2550344940 in words is "two billion, five hundred fifty million, three hundred forty-four thousand, nine hundred forty".