1542495240 has 576 divisors, whose sum is σ = 6290706240. Its totient is φ = 323066880.

The previous prime is 1542495197. The next prime is 1542495271. The reversal of 1542495240 is 425942451.

It is a happy number.

1542495240 is a `hidden beast` number, since 1 + 542 + 4 + 95 + 24 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1542495195 and 1542495204.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 18584239 + ... + 18584321.

It is an arithmetic number, because the mean of its divisors is an integer number (10921365).

Almost surely, 2^1542495240 is an apocalyptic number.

1542495240 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 1542495240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3145353120).

1542495240 is an abundant number, since it is smaller than the sum of its proper divisors (4748211000).

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

1542495240 is a wasteful number, since it uses less digits than its factorization.

1542495240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 1542495240 is about 39274.6131744159. The cubic root of 1542495240 is about 1155.4237159060.

The spelling of 1542495240 in words is "one billion, five hundred forty-two million, four hundred ninety-five thousand, two hundred forty".