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2472404676 = 2237375997139
BaseRepresentation
bin1001001101011101…
…1110011011000100
320101022021011121120
42103113132123010
520030413422201
61045200113540
7115161043620
oct22327363304
96338234546
102472404676
111059676255
125900058b0
133052b9b61
1419650a180
15e70c9536
hex935de6c4

2472404676 has 192 divisors, whose sum is σ = 7007078400. Its totient is φ = 663883776.

The previous prime is 2472404663. The next prime is 2472404681. The reversal of 2472404676 is 6764042742.

It is a happy number.

It is a super-2 number, since 2×24724046762 = 12225569763813329952, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17787015 + ... + 17787153.

It is an arithmetic number, because the mean of its divisors is an integer number (36495200).

Almost surely, 22472404676 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2472404676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3503539200).

2472404676 is an abundant number, since it is smaller than the sum of its proper divisors (4534673724).

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

2472404676 is a wasteful number, since it uses less digits than its factorization.

2472404676 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346 (or 344 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 42.

The square root of 2472404676 is about 49723.2810260948. The cubic root of 2472404676 is about 1352.1966389117.

The spelling of 2472404676 in words is "two billion, four hundred seventy-two million, four hundred four thousand, six hundred seventy-six".