1101254880 has 288 divisors, whose sum is σ = 3883565952. Its totient is φ = 262056960.

The previous prime is 1101254867. The next prime is 1101254969. The reversal of 1101254880 is 884521011.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3891219 + ... + 3891501.

It is an arithmetic number, because the mean of its divisors is an integer number (13484604).

Almost surely, 2^1101254880 is an apocalyptic number.

1101254880 is a gapful number since it is divisible by the number (10) 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 1101254880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1941782976).

1101254880 is an abundant number, since it is smaller than the sum of its proper divisors (2782311072).

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

1101254880 is a wasteful number, since it uses less digits than its factorization.

1101254880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 390 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 30.

The square root of 1101254880 is about 33185.1605390120. The cubic root of 1101254880 is about 1032.6725079989.

Adding to 1101254880 its reverse (884521011), we get a palindrome (1985775891).

The spelling of 1101254880 in words is "one billion, one hundred one million, two hundred fifty-four thousand, eight hundred eighty".