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2540622240 = 2533513192381
BaseRepresentation
bin1001011101101110…
…1101000110100000
320120001121222112000
42113123231012200
520200344402430
61100034204000
7116646634632
oct22733550640
96501558460
102540622240
11109412a102
125aaa23600
13316483290
141a15c6a52
15ed0a1e60
hex976ed1a0

2540622240 has 384 divisors, whose sum is σ = 10084435200. Its totient is φ = 592220160.

The previous prime is 2540622233. The next prime is 2540622283. The reversal of 2540622240 is 422260452.

It is a happy number.

2540622240 is a `hidden beast` number, since 2 + 540 + 62 + 22 + 40 = 666.

2540622240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×25406222402 = 12909522732765235200, which contains 22 as substring.

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 63 ways as a sum of consecutive naturals, for example, 1065850 + ... + 1068230.

It is an arithmetic number, because the mean of its divisors is an integer number (26261550).

Almost surely, 22540622240 is an apocalyptic number.

2540622240 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 2540622240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5042217600).

2540622240 is an abundant number, since it is smaller than the sum of its proper divisors (7543812960).

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

2540622240 is a wasteful number, since it uses less digits than its factorization.

2540622240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2437 (or 2423 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 2540622240 is about 50404.5855056859. The cubic root of 2540622240 is about 1364.5203966565.

Adding to 2540622240 its reverse (422260452), we get a palindrome (2962882692).

The spelling of 2540622240 in words is "two billion, five hundred forty million, six hundred twenty-two thousand, two hundred forty".