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2553773280 = 2535191072617
BaseRepresentation
bin1001100000110111…
…0111110011100000
320120222101010100120
42120031313303200
520212231221110
61101224120240
7120166500102
oct23015676340
96528333316
102553773280
1110a05a1733
125b3306080
13319109166
141a324b572
15ee2ed870
hex98377ce0

2553773280 has 192 divisors, whose sum is σ = 8550178560. Its totient is φ = 638889984.

The previous prime is 2553773251. The next prime is 2553773281. The reversal of 2553773280 is 823773552.

2553773280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2553773281) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 974532 + ... + 977148.

It is an arithmetic number, because the mean of its divisors is an integer number (44532180).

Almost surely, 22553773280 is an apocalyptic number.

2553773280 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 2553773280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4275089280).

2553773280 is an abundant number, since it is smaller than the sum of its proper divisors (5996405280).

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

2553773280 is a wasteful number, since it uses less digits than its factorization.

2553773280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2761 (or 2753 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 42.

The square root of 2553773280 is about 50534.8719202889. The cubic root of 2553773280 is about 1366.8707379844.

The spelling of 2553773280 in words is "two billion, five hundred fifty-three million, seven hundred seventy-three thousand, two hundred eighty".