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2052437040 = 2432541251277
BaseRepresentation
bin111101001010101…
…1011010000110000
312022001000121022200
41322111123100300
513200410441130
6535354503200
7101601266313
oct17225332060
95261017280
102052437040
11963602365
12493434b00
132692a6ab4
1415682897a
15c02be760
hex7a55b430

2052437040 has 240 divisors, whose sum is σ = 7114607136. Its totient is φ = 529920000.

The previous prime is 2052437033. The next prime is 2052437053. The reversal of 2052437040 is 407342502.

It is a tau number, because it is divible by the number of its divisors (240).

It is a junction number, because it is equal to n+sod(n) for n = 2052436995 and 2052437013.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7409382 + ... + 7409658.

Almost surely, 22052437040 is an apocalyptic number.

2052437040 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 2052437040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3557303568).

2052437040 is an abundant number, since it is smaller than the sum of its proper divisors (5062170096).

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

2052437040 is a wasteful number, since it uses less digits than its factorization.

2052437040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 588 (or 579 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

The square root of 2052437040 is about 45303.8303016423. The cubic root of 2052437040 is about 1270.8372844835.

Adding to 2052437040 its reverse (407342502), we get a palindrome (2459779542).

The spelling of 2052437040 in words is "two billion, fifty-two million, four hundred thirty-seven thousand, forty".