1540980120 has 128 divisors (see below), whose sum is σ = 4685091840. Its totient is φ = 405450240.

The previous prime is 1540980071. The next prime is 1540980127. The reversal of 1540980120 is 210890451.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1540980127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4954765 + ... + 4955075.

It is an arithmetic number, because the mean of its divisors is an integer number (36602280).

Almost surely, 2^1540980120 is an apocalyptic number.

1540980120 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 1540980120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2342545920).

1540980120 is an abundant number, since it is smaller than the sum of its proper divisors (3144111720).

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

1540980120 is a wasteful number, since it uses less digits than its factorization.

1540980120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 745 (or 741 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 30.

The square root of 1540980120 is about 39255.3196395087. The cubic root of 1540980120 is about 1155.0452859814.

The spelling of 1540980120 in words is "one billion, five hundred forty million, nine hundred eighty thousand, one hundred twenty".