2542059520 has 480 divisors, whose sum is σ = 8455458816. Its totient is φ = 707788800.

The previous prime is 2542059517. The next prime is 2542059539. The reversal of 2542059520 is 259502452.

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, 82001905 + ... + 82001935.

Almost surely, 2^2542059520 is an apocalyptic number.

2542059520 is a gapful number since it is divisible by the number (20) 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 2542059520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4227729408).

2542059520 is an abundant number, since it is smaller than the sum of its proper divisors (5913399296).

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

2542059520 is a wasteful number, since it uses less digits than its factorization.

2542059520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 34.

The square root of 2542059520 is about 50418.8409228138. The cubic root of 2542059520 is about 1364.7776601635. Note that the first 3 decimals are identical.

The spelling of 2542059520 in words is "two billion, five hundred forty-two million, fifty-nine thousand, five hundred twenty".