2153677540 has 48 divisors (see below), whose sum is σ = 5220036864. Its totient is φ = 731088000.

The previous prime is 2153677499. The next prime is 2153677541. The reversal of 2153677540 is 457763512.

It is a junction number, because it is equal to n+sod(n) for n = 2153677493 and 2153677502.

It is not an unprimeable number, because it can be changed into a prime (2153677541) 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, 62016 + ... + 90295.

It is an arithmetic number, because the mean of its divisors is an integer number (108750768).

Almost surely, 2^2153677540 is an apocalyptic number.

2153677540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2153677540 is an abundant number, since it is smaller than the sum of its proper divisors (3066359324).

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

2153677540 is a wasteful number, since it uses less digits than its factorization.

2153677540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152428 (or 152426 counting only the distinct ones).

The product of its (nonzero) digits is 176400, while the sum is 40.

The square root of 2153677540 is about 46407.7314679354. The cubic root of 2153677540 is about 1291.3983474475.

The spelling of 2153677540 in words is "two billion, one hundred fifty-three million, six hundred seventy-seven thousand, five hundred forty".