Search a number
-
+
2491140960 = 253357117489
BaseRepresentation
bin1001010001111011…
…1100101101100000
320102121112001222000
42110132330231200
520100213002320
61051105444000
7115506230430
oct22436745540
96377461860
102491140960
111069203090
12596340600
1330914a009
14198bc62c0
15e8a7ac90
hex947bcb60

2491140960 has 384 divisors, whose sum is σ = 10871884800. Its totient is φ = 517570560.

The previous prime is 2491140947. The next prime is 2491140989. The reversal of 2491140960 is 690411942.

It is a happy number.

2491140960 is a `hidden beast` number, since 249 + 1 + 1 + 409 + 6 + 0 = 666.

2491140960 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 328896 + ... + 336384.

It is an arithmetic number, because the mean of its divisors is an integer number (28312200).

Almost surely, 22491140960 is an apocalyptic number.

2491140960 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 2491140960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5435942400).

2491140960 is an abundant number, since it is smaller than the sum of its proper divisors (8380743840).

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

2491140960 is a wasteful number, since it uses less digits than its factorization.

2491140960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7531 (or 7517 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 2491140960 is about 49911.3309780455. The cubic root of 2491140960 is about 1355.6037686376.

The spelling of 2491140960 in words is "two billion, four hundred ninety-one million, one hundred forty thousand, nine hundred sixty".