1542551040 has 400 divisors, whose sum is σ = 5686095888. Its totient is φ = 399458304.

The previous prime is 1542551039. The next prime is 1542551057. The reversal of 1542551040 is 401552451.

It is a super-2 number, since 2×1542551040² = 4758927422010163200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 1542550995 and 1542551013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 8916394 + ... + 8916566.

Almost surely, 2^1542551040 is an apocalyptic number.

1542551040 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 1542551040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2843047944).

1542551040 is an abundant number, since it is smaller than the sum of its proper divisors (4143544848).

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

1542551040 is an equidigital number, since it uses as much as digits as its factorization.

1542551040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 27.

The square root of 1542551040 is about 39275.3235505451. The cubic root of 1542551040 is about 1155.4376482809.

The spelling of 1542551040 in words is "one billion, five hundred forty-two million, five hundred fifty-one thousand, forty".