10542954240 has 864 divisors, whose sum is σ = 45801624960. Its totient is φ = 2179989504.

The previous prime is 10542954229. The next prime is 10542954241. The reversal of 10542954240 is 4245924501.

It is a happy number.

10542954240 is a `hidden beast` number, since 1 + 0 + 54 + 29 + 542 + 40 = 666.

It is a super-2 number, since 2×10542954240² (a number of 21 digits) contains 22 as substring.

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 = 10542954195 and 10542954204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10542954241) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 93300424 + ... + 93300536.

It is an arithmetic number, because the mean of its divisors is an integer number (53011140).

Almost surely, 2^10542954240 is an apocalyptic number.

10542954240 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 10542954240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22900812480).

10542954240 is an abundant number, since it is smaller than the sum of its proper divisors (35258670720).

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

10542954240 is a wasteful number, since it uses less digits than its factorization.

10542954240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 10542954240 in words is "ten billion, five hundred forty-two million, nine hundred fifty-four thousand, two hundred forty".