1240249920 has 224 divisors, whose sum is σ = 4846856448. Its totient is φ = 261660672.

The previous prime is 1240249897. The next prime is 1240249963. The reversal of 1240249920 is 299420421.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-3 number, since 3×1240249920³ (a number of 28 digits) contains 333 as substring.

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, 80262 + ... + 94458.

It is an arithmetic number, because the mean of its divisors is an integer number (21637752).

Almost surely, 2^1240249920 is an apocalyptic number.

1240249920 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 1240249920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2423428224).

1240249920 is an abundant number, since it is smaller than the sum of its proper divisors (3606606528).

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

1240249920 is a wasteful number, since it uses less digits than its factorization.

1240249920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14237 (or 14227 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 1240249920 is about 35217.1821700715. The cubic root of 1240249920 is about 1074.4092431084.

The spelling of 1240249920 in words is "one billion, two hundred forty million, two hundred forty-nine thousand, nine hundred twenty".