1024053140 has 96 divisors (see below), whose sum is σ = 2509532928. Its totient is φ = 346880000.

The previous prime is 1024053137. The next prime is 1024053161. The reversal of 1024053140 is 413504201.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

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, 376385 + ... + 379095.

It is an arithmetic number, because the mean of its divisors is an integer number (26140968).

Almost surely, 2^1024053140 is an apocalyptic number.

1024053140 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 1024053140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1254766464).

1024053140 is an abundant number, since it is smaller than the sum of its proper divisors (1485479788).

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

1024053140 is a wasteful number, since it uses less digits than its factorization.

1024053140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2849 (or 2847 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 1024053140 is about 32000.8303017281. The cubic root of 1024053140 is about 1007.9542750843.

Adding to 1024053140 its reverse (413504201), we get a palindrome (1437557341).

The spelling of 1024053140 in words is "one billion, twenty-four million, fifty-three thousand, one hundred forty".