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2497506480 = 24335733371
BaseRepresentation
bin1001010011011100…
…1110110010110000
320110001111110211000
42110313032302300
520103330201410
61051454122000
7115614312000
oct22467166260
96401443730
102497506480
111071860647
125984b0300
1330a5684b1
141999a2000
15e93d6dc0
hex94dcecb0

2497506480 has 320 divisors, whose sum is σ = 10035072000. Its totient is φ = 570689280.

The previous prime is 2497506467. The next prime is 2497506491. The reversal of 2497506480 is 846057942.

It is a happy number.

2497506480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×24975064803 (a number of 29 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 739195 + ... + 742565.

It is an arithmetic number, because the mean of its divisors is an integer number (31359600).

Almost surely, 22497506480 is an apocalyptic number.

2497506480 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 2497506480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5017536000).

2497506480 is an abundant number, since it is smaller than the sum of its proper divisors (7537565520).

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

2497506480 is a wasteful number, since it uses less digits than its factorization.

2497506480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3414 (or 3388 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 2497506480 is about 49975.0585792553. The cubic root of 2497506480 is about 1356.7574278863.

The spelling of 2497506480 in words is "two billion, four hundred ninety-seven million, five hundred six thousand, four hundred eighty".