1002741120 has 480 divisors, whose sum is σ = 3869957520. Its totient is φ = 246951936.

The previous prime is 1002741083. The next prime is 1002741121. The reversal of 1002741120 is 211472001.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1002741093 and 1002741102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002741121) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 34577266 + ... + 34577294.

Almost surely, 2^1002741120 is an apocalyptic number.

1002741120 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 1002741120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1934978760).

1002741120 is an abundant number, since it is smaller than the sum of its proper divisors (2867216400).

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

1002741120 is an equidigital number, since it uses as much as digits as its factorization.

1002741120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 1002741120 is about 31666.0878543593. The cubic root of 1002741120 is about 1000.9128730758.

The spelling of 1002741120 in words is "one billion, two million, seven hundred forty-one thousand, one hundred twenty".