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2492471520 = 2533571159127
BaseRepresentation
bin1001010010010000…
…0001100011100000
320102201000200011000
42110210001203200
520101033042040
61051154152000
7115523441550
oct22444014340
96381020130
102492471520
111069a31820
12596882600
133094c4826
14199051160
15e8c40130
hex949018e0

2492471520 has 768 divisors, whose sum is σ = 11147673600. Its totient is φ = 505128960.

The previous prime is 2492471503. The next prime is 2492471533. The reversal of 2492471520 is 251742942.

2492471520 is a `hidden beast` number, since 2 + 4 + 92 + 47 + 1 + 520 = 666.

It is a super-2 number, since 2×24924715202 = 12424828556022220800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 19625697 + ... + 19625823.

It is an arithmetic number, because the mean of its divisors is an integer number (14515200).

Almost surely, 22492471520 is an apocalyptic number.

2492471520 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 2492471520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5573836800).

2492471520 is an abundant number, since it is smaller than the sum of its proper divisors (8655202080).

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

2492471520 is a wasteful number, since it uses less digits than its factorization.

2492471520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 2492471520 is about 49924.6584364881. The cubic root of 2492471520 is about 1355.8450758865.

The spelling of 2492471520 in words is "two billion, four hundred ninety-two million, four hundred seventy-one thousand, five hundred twenty".