1542891840 has 224 divisors, whose sum is σ = 5621975040. Its totient is φ = 351184896.

The previous prime is 1542891829. The next prime is 1542891893. The reversal of 1542891840 is 481982451.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 1542891792 and 1542891801.

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, 2949819 + ... + 2950341.

Almost surely, 2^1542891840 is an apocalyptic number.

1542891840 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 1542891840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2810987520).

1542891840 is an abundant number, since it is smaller than the sum of its proper divisors (4079083200).

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

1542891840 is a wasteful number, since it uses less digits than its factorization.

1542891840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 989 (or 979 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 42.

The square root of 1542891840 is about 39279.6619130053. The cubic root of 1542891840 is about 1155.5227333434.

The spelling of 1542891840 in words is "one billion, five hundred forty-two million, eight hundred ninety-one thousand, eight hundred forty".