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2509990640 = 245311012093
BaseRepresentation
bin1001010110011011…
…0110101011110000
320110220222201212022
42111212312223300
520120024200030
61053021451012
7116125365653
oct22546665360
96426881768
102509990640
111078908133
125a0710a68
13310019981
1419b4d189a
15ea550de5
hex959b6af0

2509990640 has 40 divisors (see below), whose sum is σ = 6023983488. Its totient is φ = 971608320.

The previous prime is 2509990627. The next prime is 2509990661. The reversal of 2509990640 is 460999052.

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

It is a junction number, because it is equal to n+sod(n) for n = 2509990591 and 2509990600.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 503567 + ... + 508526.

Almost surely, 22509990640 is an apocalyptic number.

2509990640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2509990640 is an abundant number, since it is smaller than the sum of its proper divisors (3513992848).

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

2509990640 is a wasteful number, since it uses less digits than its factorization.

2509990640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1012137 (or 1012131 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 44.

The square root of 2509990640 is about 50099.8067860546. The cubic root of 2509990640 is about 1359.0143232768.

The spelling of 2509990640 in words is "two billion, five hundred nine million, nine hundred ninety thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 31 40 62 80 124 155 248 310 496 620 1240 2480 1012093 2024186 4048372 5060465 8096744 10120930 16193488 20241860 31374883 40483720 62749766 80967440 125499532 156874415 250999064 313748830 501998128 627497660 1254995320 2509990640