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2053610496 = 210377131
BaseRepresentation
bin111101001100111…
…1001110000000000
312022010020020000000
41322121321300000
513201211013441
6535440000000
7101614254420
oct17231716000
95263206000
102053610496
11964233a63
12493900000
132695c7c52
14156a52480
15c04522b6
hex7a679c00

2053610496 has 352 divisors, whose sum is σ = 7090152960. Its totient is φ = 582266880.

The previous prime is 2053610479. The next prime is 2053610563. The reversal of 2053610496 is 6940163502.

It is a happy number.

2053610496 is a `hidden beast` number, since 20 + 536 + 10 + 4 + 96 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2053610496.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15676351 + ... + 15676481.

It is an arithmetic number, because the mean of its divisors is an integer number (20142480).

Almost surely, 22053610496 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 2053610496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3545076480).

2053610496 is an abundant number, since it is smaller than the sum of its proper divisors (5036542464).

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

2053610496 is an frugal number, since it uses more digits than its factorization.

2053610496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 2053610496 is about 45316.7794089562. The cubic root of 2053610496 is about 1271.0794336120.

Adding to 2053610496 its reverse (6940163502), we get a palindrome (8993773998).

The spelling of 2053610496 in words is "two billion, fifty-three million, six hundred ten thousand, four hundred ninety-six".