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2600220480 = 2635111323147
BaseRepresentation
bin1001101011111100…
…0011011101000000
320201012202212221020
42122333003131000
520311124023410
61110003425440
7121302336504
oct23277033500
96635685836
102600220480
111114836150
12606985280
1332591c400
141a949c304
15103425a70
hex9afc3740

2600220480 has 672 divisors, whose sum is σ = 10281074688. Its totient is φ = 551116800.

The previous prime is 2600220463. The next prime is 2600220517. The reversal of 2600220480 is 840220062.

2600220480 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-2 number, since 2×26002204802 = 13522293089222860800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2600220480.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 55323817 + ... + 55323863.

Almost surely, 22600220480 is an apocalyptic number.

2600220480 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 2600220480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5140537344).

2600220480 is an abundant number, since it is smaller than the sum of its proper divisors (7680854208).

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

2600220480 is a wasteful number, since it uses less digits than its factorization.

2600220480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 2600220480 is about 50992.3570743695. The cubic root of 2600220480 is about 1375.1077345888.

The spelling of 2600220480 in words is "two billion, six hundred million, two hundred twenty thousand, four hundred eighty".