10754490240 has 768 divisors, whose sum is σ = 42664527360. Its totient is φ = 2477260800.

The previous prime is 10754490223. The next prime is 10754490293. The reversal of 10754490240 is 4209445701.

It is a happy number.

10754490240 is a `hidden beast` number, since 1 + 0 + 7 + 544 + 90 + 24 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 10754490195 and 10754490204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 95172424 + ... + 95172536.

It is an arithmetic number, because the mean of its divisors is an integer number (55552770).

Almost surely, 2^10754490240 is an apocalyptic number.

10754490240 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 10754490240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21332263680).

10754490240 is an abundant number, since it is smaller than the sum of its proper divisors (31910037120).

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

10754490240 is a wasteful number, since it uses less digits than its factorization.

10754490240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 10754490240 in words is "ten billion, seven hundred fifty-four million, four hundred ninety thousand, two hundred forty".