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2472596280 = 2334571121753
BaseRepresentation
bin1001001101100000…
…1101001100111000
320101022121220110000
42103120031030320
520030441040110
61045204153000
7115162502340
oct22330151470
96338556400
102472596280
111059797200
12590098760
1330535612b
14196559d20
15e71161c0
hex9360d338

2472596280 has 960 divisors, whose sum is σ = 11262525120. Its totient is φ = 474439680.

The previous prime is 2472596261. The next prime is 2472596303. The reversal of 2472596280 is 826952742.

It is a super-2 number, since 2×24725962802 = 12227464727739676800, which contains 22 as substring.

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 239 ways as a sum of consecutive naturals, for example, 46652734 + ... + 46652786.

It is an arithmetic number, because the mean of its divisors is an integer number (11731797).

Almost surely, 22472596280 is an apocalyptic number.

2472596280 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 2472596280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5631262560).

2472596280 is an abundant number, since it is smaller than the sum of its proper divisors (8789928840).

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

2472596280 is a wasteful number, since it uses less digits than its factorization.

2472596280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 98 counting only the distinct ones).

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

The square root of 2472596280 is about 49725.2076918739. The cubic root of 2472596280 is about 1352.2315684137.

The spelling of 2472596280 in words is "two billion, four hundred seventy-two million, five hundred ninety-six thousand, two hundred eighty".