1540051380 has 432 divisors, whose sum is σ = 5855915520. Its totient is φ = 338349312.

The previous prime is 1540051367. The next prime is 1540051399. The reversal of 1540051380 is 831500451.

1540051380 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 6905949 + ... + 6906171.

It is an arithmetic number, because the mean of its divisors is an integer number (13555360).

Almost surely, 2^1540051380 is an apocalyptic number.

1540051380 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 1540051380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2927957760).

1540051380 is an abundant number, since it is smaller than the sum of its proper divisors (4315864140).

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

1540051380 is a wasteful number, since it uses less digits than its factorization.

1540051380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 1540051380 is about 39243.4883770544. The cubic root of 1540051380 is about 1154.8131929284.

The spelling of 1540051380 in words is "one billion, five hundred forty million, fifty-one thousand, three hundred eighty".