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2497023313920 = 2113451923832
BaseRepresentation
bin100100010101100010001…
…100000000100000000000
322211201020211220020120000
4210111202030000200000
5311402400432021140
65151041111320000
7345255364652352
oct44254214004000
98751224806500
102497023313920
11882a88621a43
12343b34080000
13151611aa1525
1488bdc6190d2
1544e47624a30
hex24562300800

2497023313920 has 1440 divisors, whose sum is σ = 9950649508800. Its totient is φ = 596129808384.

The previous prime is 2497023313913. The next prime is 2497023313969. The reversal of 2497023313920 is 293133207942.

2497023313920 is a `hidden beast` number, since 2 + 497 + 0 + 2 + 3 + 3 + 139 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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 119 ways as a sum of consecutive naturals, for example, 30084618199 + ... + 30084618281.

It is an arithmetic number, because the mean of its divisors is an integer number (6910173270).

Almost surely, 22497023313920 is an apocalyptic number.

2497023313920 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 2497023313920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4975324754400).

2497023313920 is an abundant number, since it is smaller than the sum of its proper divisors (7453626194880).

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

2497023313920 is an equidigital number, since it uses as much as digits as its factorization.

2497023313920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 45.

The spelling of 2497023313920 in words is "two trillion, four hundred ninety-seven billion, twenty-three million, three hundred thirteen thousand, nine hundred twenty".