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2480092992 = 2637132947
BaseRepresentation
bin1001001111010011…
…0011011101000000
320101211201210000000
42103310303131000
520034400433432
61050033000000
7115313304546
oct22364633500
96354653000
102480092992
111062a47633
125926b3000
13306a7c460
1419754bd96
15e7ae757c
hex93d33740

2480092992 has 448 divisors, whose sum is σ = 8397849600. Its totient is φ = 721115136.

The previous prime is 2480092981. The next prime is 2480093003. The reversal of 2480092992 is 2992900842.

It is an interprime number because it is at equal distance from previous prime (2480092981) and next prime (2480093003).

It is a super-2 number, since 2×24800929922 = 12301722497935024128, which contains 22 as substring.

It is a congruent number.

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, 52767913 + ... + 52767959.

It is an arithmetic number, because the mean of its divisors is an integer number (18745200).

Almost surely, 22480092992 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 2480092992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4198924800).

2480092992 is an abundant number, since it is smaller than the sum of its proper divisors (5917756608).

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

2480092992 is an equidigital number, since it uses as much as digits as its factorization.

2480092992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 2480092992 is about 49800.5320453507. The cubic root of 2480092992 is about 1353.5968085031.

It can be divided in two parts, 248009 and 2992, that added together give a square (251001 = 5012).

The spelling of 2480092992 in words is "two billion, four hundred eighty million, ninety-two thousand, nine hundred ninety-two".