2736051948 has 72 divisors (see below), whose sum is σ = 7917410592. Its totient is φ = 780417792.

The previous prime is 2736051911. The next prime is 2736051959. The reversal of 2736051948 is 8491506372.

2736051948 is a `hidden beast` number, since 2 + 73 + 60 + 519 + 4 + 8 = 666.

2736051948 is digitally balanced in base 2, base 4 and base 10, because in such bases it contains all the possibile digits an equal number of times.

2736051948 is a modest number, since divided by 51948 gives 2736 as remainder.

2736051948 is strictly pandigital in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 146686 + ... + 164282.

It is an arithmetic number, because the mean of its divisors is an integer number (109964036).

It is a 2-persistent number, because it is pandigital, and so is 2⋅2736051948 = 5472103896, but 3⋅2736051948 = 8208155844 is not.

Almost surely, 2^2736051948 is an apocalyptic number.

2736051948 is a gapful number since it is divisible by the number (28) 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 2736051948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3958705296).

2736051948 is an abundant number, since it is smaller than the sum of its proper divisors (5181358644).

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

2736051948 is a wasteful number, since it uses less digits than its factorization.

2736051948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18231 (or 18226 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 2736051948 is about 52307.2838904870. The cubic root of 2736051948 is about 1398.6469832873.

The spelling of 2736051948 in words is "two billion, seven hundred thirty-six million, fifty-one thousand, nine hundred forty-eight".