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2742323520 = 263529137719
BaseRepresentation
bin1010001101110100…
…1000100101000000
321002010011110122210
42203131020211000
521104013323040
61132041302120
7124646236206
oct24335104500
97063143583
102742323520
111187a74282
12646494940
133491b4a51
141c02cd076
15110b45480
hexa3748940

2742323520 has 224 divisors, whose sum is σ = 9085478400. Its totient is φ = 699940864.

The previous prime is 2742323483. The next prime is 2742323527. The reversal of 2742323520 is 253232472.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2742323527) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3813721 + ... + 3814439.

Almost surely, 22742323520 is an apocalyptic number.

2742323520 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 2742323520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4542739200).

2742323520 is an abundant number, since it is smaller than the sum of its proper divisors (6343154880).

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

2742323520 is a wasteful number, since it uses less digits than its factorization.

2742323520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 905 (or 895 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 30.

The square root of 2742323520 is about 52367.1988939641. The cubic root of 2742323520 is about 1399.7148262691.

Adding to 2742323520 its reverse (253232472), we get a palindrome (2995555992).

The spelling of 2742323520 in words is "two billion, seven hundred forty-two million, three hundred twenty-three thousand, five hundred twenty".