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2544076640 = 25572271497
BaseRepresentation
bin1001011110100011…
…1000011101100000
320120022010111001202
42113220320131200
520202240423030
61100240220332
7120021203030
oct22750703540
96508114052
102544076640
111096079486
125b000a6a8
133170c26c1
141a1c458c0
15ed535745
hex97a38760

2544076640 has 48 divisors (see below), whose sum is σ = 6869009952. Its totient is φ = 872254464.

The previous prime is 2544076603. The next prime is 2544076669. The reversal of 2544076640 is 466704452.

It is a junction number, because it is equal to n+sod(n) for n = 2544076594 and 2544076603.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1134629 + ... + 1136868.

It is an arithmetic number, because the mean of its divisors is an integer number (143104374).

Almost surely, 22544076640 is an apocalyptic number.

2544076640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2544076640 is an abundant number, since it is smaller than the sum of its proper divisors (4324933312).

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

2544076640 is a wasteful number, since it uses less digits than its factorization.

2544076640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2271519 (or 2271511 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 38.

The square root of 2544076640 is about 50438.8405893712. The cubic root of 2544076640 is about 1365.1385476601.

The spelling of 2544076640 in words is "two billion, five hundred forty-four million, seventy-six thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 280 560 1120 2271497 4542994 9085988 11357485 15900479 18171976 22714970 31800958 36343952 45429940 63601916 72687904 79502395 90859880 127203832 159004790 181719760 254407664 318009580 363439520 508815328 636019160 1272038320 2544076640