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2494739520 = 2633571319167
BaseRepresentation
bin1001010010110010…
…1011010001000000
320102212021220021000
42110230223101000
520102123131040
61051314532000
7115551636030
oct22454532100
96385256230
102494739520
1110702407a9
12597597000
13309b09c40
141994818c0
15e903c130
hex94b2b440

2494739520 has 896 divisors, whose sum is σ = 11470233600. Its totient is φ = 495673344.

The previous prime is 2494739519. The next prime is 2494739591. The reversal of 2494739520 is 259374942.

2494739520 is a `hidden beast` number, since 2 + 4 + 94 + 7 + 39 + 520 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 14938477 + ... + 14938643.

It is an arithmetic number, because the mean of its divisors is an integer number (12801600).

Almost surely, 22494739520 is an apocalyptic number.

2494739520 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 2494739520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5735116800).

2494739520 is an abundant number, since it is smaller than the sum of its proper divisors (8975494080).

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

2494739520 is a wasteful number, since it uses less digits than its factorization.

2494739520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The square root of 2494739520 is about 49947.3674981975. The cubic root of 2494739520 is about 1356.2561971869.

The spelling of 2494739520 in words is "two billion, four hundred ninety-four million, seven hundred thirty-nine thousand, five hundred twenty".