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2472960 = 21035723
BaseRepresentation
bin1001011011110000000000
311122122021010
421123300000
51113113320
6125000520
730006540
oct11336000
94578233
102472960
111439a76
129b3140
136877b9
14485320
1533cae0
hex25bc00

2472960 has 176 divisors, whose sum is σ = 9432576. Its totient is φ = 540672.

The previous prime is 2472959. The next prime is 2472961. The reversal of 2472960 is 692742.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2472959) and next prime (2472961).

It is a super-2 number, since 2×24729602 = 12231062323200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a d-powerful number, because it can be written as 23 + 49 + 73 + 219 + 94 + 68 + 0 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2472961) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 107509 + ... + 107531.

22472960 is an apocalyptic number.

2472960 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 2472960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4716288).

2472960 is an abundant number, since it is smaller than the sum of its proper divisors (6959616).

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

2472960 is a wasteful number, since it uses less digits than its factorization.

2472960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 2472960 is about 1572.5647840391. The cubic root of 2472960 is about 135.2297869782.

The spelling of 2472960 in words is "two million, four hundred seventy-two thousand, nine hundred sixty".