2546948640 has 48 divisors (see below), whose sum is σ = 8022889728. Its totient is φ = 679186176.

The previous prime is 2546948629. The next prime is 2546948669. The reversal of 2546948640 is 468496452.

2546948640 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 2546948640.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2652592 + ... + 2653551.

It is an arithmetic number, because the mean of its divisors is an integer number (167143536).

Almost surely, 2^2546948640 is an apocalyptic number.

2546948640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2546948640 is an abundant number, since it is smaller than the sum of its proper divisors (5475941088).

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

2546948640 is a wasteful number, since it uses less digits than its factorization.

2546948640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5306161 (or 5306153 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 48.

The square root of 2546948640 is about 50467.3026820336. The cubic root of 2546948640 is about 1365.6520546597.

The spelling of 2546948640 in words is "two billion, five hundred forty-six million, nine hundred forty-eight thousand, six hundred forty".