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2540412021 = 37712397129
BaseRepresentation
bin1001011101101011…
…1001110001110101
320120001020022011010
42113122321301311
520200321141041
61100025502433
7116645101020
oct22732716165
96501208133
102540412021
111093aa6174
125aa941a19
1331640b6a4
141a15701b7
15ed05ea16
hex976b9c75

2540412021 has 32 divisors (see below), whose sum is σ = 3942604800. Its totient is φ = 1425029760.

The previous prime is 2540411981. The next prime is 2540412037. The reversal of 2540412021 is 1202140452.

It is not a de Polignac number, because 2540412021 - 215 = 2540379253 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2540412041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 352785 + ... + 359913.

It is an arithmetic number, because the mean of its divisors is an integer number (123206400).

Almost surely, 22540412021 is an apocalyptic number.

2540412021 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2540412021 is a deficient number, since it is larger than the sum of its proper divisors (1402192779).

2540412021 is a wasteful number, since it uses less digits than its factorization.

2540412021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7449.

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 2540412021 is about 50402.5001463221. The cubic root of 2540412021 is about 1364.4827607288.

Adding to 2540412021 its reverse (1202140452), we get a palindrome (3742552473).

The spelling of 2540412021 in words is "two billion, five hundred forty million, four hundred twelve thousand, twenty-one".

Divisors: 1 3 7 21 71 213 239 497 717 1491 1673 5019 7129 16969 21387 49903 50907 118783 149709 356349 506159 1518477 1703831 3543113 5111493 10629339 11926817 35780451 120972001 362916003 846804007 2540412021