1542740400 has 90 divisors (see below), whose sum is σ = 5353750220. Its totient is φ = 411396480.

The previous prime is 1542740371. The next prime is 1542740401. The reversal of 1542740400 is 40472451.

It is a tau number, because it is divible by the number of its divisors (90).

It is not an unprimeable number, because it can be changed into a prime (1542740401) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 210670 + ... + 217869.

Almost surely, 2^1542740400 is an apocalyptic number.

1542740400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1542740400 is an abundant number, since it is smaller than the sum of its proper divisors (3811009820).

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

1542740400 is a wasteful number, since it uses less digits than its factorization.

1542740400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428563 (or 428549 counting only the distinct ones).

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

The square root of 1542740400 is about 39277.7341505337. The cubic root of 1542740400 is about 1155.4849259647.

The spelling of 1542740400 in words is "one billion, five hundred forty-two million, seven hundred forty thousand, four hundred".