1240254720 has 288 divisors, whose sum is σ = 4662282240. Its totient is φ = 311132160.

The previous prime is 1240254677. The next prime is 1240254731. The reversal of 1240254720 is 274520421.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 586465 + ... + 588575.

It is an arithmetic number, because the mean of its divisors is an integer number (16188480).

Almost surely, 2^1240254720 is an apocalyptic number.

1240254720 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 1240254720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2331141120).

1240254720 is an abundant number, since it is smaller than the sum of its proper divisors (3422027520).

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

1240254720 is a wasteful number, since it uses less digits than its factorization.

1240254720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2158 (or 2138 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 27.

The square root of 1240254720 is about 35217.2503185584. The cubic root of 1240254720 is about 1074.4106291618.

The spelling of 1240254720 in words is "one billion, two hundred forty million, two hundred fifty-four thousand, seven hundred twenty".