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2540572440 = 2335737431901
BaseRepresentation
bin1001011101101110…
…0000111100011000
320120001112110012120
42113123200330120
520200341304230
61100033141240
7116646336510
oct22733407430
96501473176
102540572440
1110940a574a
125aa9ba820
13316466703
141a15b2840
15ed092310
hex976e0f18

2540572440 has 256 divisors, whose sum is σ = 9158814720. Its totient is φ = 551577600.

The previous prime is 2540572439. The next prime is 2540572453. The reversal of 2540572440 is 442750452.

2540572440 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

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, 1335490 + ... + 1337390.

It is an arithmetic number, because the mean of its divisors is an integer number (35776620).

Almost surely, 22540572440 is an apocalyptic number.

2540572440 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 2540572440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4579407360).

2540572440 is an abundant number, since it is smaller than the sum of its proper divisors (6618242280).

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

2540572440 is a wasteful number, since it uses less digits than its factorization.

2540572440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2002 (or 1998 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 33.

The square root of 2540572440 is about 50404.0915005915. The cubic root of 2540572440 is about 1364.5114810506.

The spelling of 2540572440 in words is "two billion, five hundred forty million, five hundred seventy-two thousand, four hundred forty".