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2131265040 = 24358880271
BaseRepresentation
bin111111100001000…
…1000011000010000
312111112100111000020
41333002020120100
513331100440130
6551252223440
7103546311462
oct17702103020
95445314006
102131265040
119a4052a73
124b590ab80
1327c716898
141630a8132
15c7190e10
hex7f088610

2131265040 has 40 divisors (see below), whose sum is σ = 6606922368. Its totient is φ = 568337280.

The previous prime is 2131265011. The next prime is 2131265041. The reversal of 2131265040 is 405621312.

It is a tau number, because it is divible by the number of its divisors (40).

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 2131265040.

It is not an unprimeable number, because it can be changed into a prime (2131265041) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4439896 + ... + 4440375.

Almost surely, 22131265040 is an apocalyptic number.

2131265040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2131265040 is an abundant number, since it is smaller than the sum of its proper divisors (4475657328).

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

2131265040 is a wasteful number, since it uses less digits than its factorization.

2131265040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8880287 (or 8880281 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 2131265040 is about 46165.6261735937. The cubic root of 2131265040 is about 1286.9030209429.

Adding to 2131265040 its reverse (405621312), we get a palindrome (2536886352).

The spelling of 2131265040 in words is "two billion, one hundred thirty-one million, two hundred sixty-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 8880271 17760542 26640813 35521084 44401355 53281626 71042168 88802710 106563252 133204065 142084336 177605420 213126504 266408130 355210840 426253008 532816260 710421680 1065632520 2131265040