2653942128 has 80 divisors (see below), whose sum is σ = 6999185952. Its totient is φ = 866304000.

The previous prime is 2653942127. The next prime is 2653942129. The reversal of 2653942128 is 8212493562.

It is an interprime number because it is at equal distance from previous prime (2653942127) and next prime (2653942129).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 2653942128.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2653942121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 703768 + ... + 707528.

Almost surely, 2^2653942128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2653942128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3499592976).

2653942128 is an abundant number, since it is smaller than the sum of its proper divisors (4345243824).

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

2653942128 is a wasteful number, since it uses less digits than its factorization.

2653942128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4074 (or 4068 counting only the distinct ones).

The product of its digits is 207360, while the sum is 42.

The square root of 2653942128 is about 51516.4258076975. The cubic root of 2653942128 is about 1384.5133555094.

The spelling of 2653942128 in words is "two billion, six hundred fifty-three million, nine hundred forty-two thousand, one hundred twenty-eight".