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2540307640 = 2351319125577
BaseRepresentation
bin1001011101101010…
…0000010010111000
320120001000222222011
42113122200102320
520200304321030
61100023335304
7116644154503
oct22732402270
96501028864
102540307640
111093a34802
125aa8b1534
133163a3020
141a154413a
15ed03db2a
hex976a04b8

2540307640 has 64 divisors (see below), whose sum is σ = 6187829760. Its totient is φ = 933012480.

The previous prime is 2540307629. The next prime is 2540307673. The reversal of 2540307640 is 467030452.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 86532 + ... + 112108.

It is an arithmetic number, because the mean of its divisors is an integer number (96684840).

Almost surely, 22540307640 is an apocalyptic number.

2540307640 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 2540307640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3093914880).

2540307640 is an abundant number, since it is smaller than the sum of its proper divisors (3647522120).

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

2540307640 is a wasteful number, since it uses less digits than its factorization.

2540307640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25792 (or 25788 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 31.

The square root of 2540307640 is about 50401.4646612576. The cubic root of 2540307640 is about 1364.4640724183.

The spelling of 2540307640 in words is "two billion, five hundred forty million, three hundred seven thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 191 260 382 520 764 955 1528 1910 2483 3820 4966 7640 9932 12415 19864 24830 25577 49660 51154 99320 102308 127885 204616 255770 332501 511540 665002 1023080 1330004 1662505 2660008 3325010 4885207 6650020 9770414 13300040 19540828 24426035 39081656 48852070 63507691 97704140 127015382 195408280 254030764 317538455 508061528 635076910 1270153820 2540307640