2542048740 has 288 divisors, whose sum is σ = 9875384064. Its totient is φ = 513838080.

The previous prime is 2542048697. The next prime is 2542048787. The reversal of 2542048740 is 478402452.

2542048740 is a `hidden beast` number, since 2 + 542 + 0 + 48 + 74 + 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 = 2542048695 and 2542048704.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 510342 + ... + 515298.

It is an arithmetic number, because the mean of its divisors is an integer number (34289528).

Almost surely, 2^2542048740 is an apocalyptic number.

2542048740 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 2542048740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4937692032).

2542048740 is an abundant number, since it is smaller than the sum of its proper divisors (7333335324).

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

2542048740 is a wasteful number, since it uses less digits than its factorization.

2542048740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5027 (or 5022 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 36.

The square root of 2542048740 is about 50418.7340182199. The cubic root of 2542048740 is about 1364.7757309766.

The spelling of 2542048740 in words is "two billion, five hundred forty-two million, forty-eight thousand, seven hundred forty".