2878766541 has 64 divisors (see below), whose sum is σ = 4937318400. Its totient is φ = 1623846528.

The previous prime is 2878766521. The next prime is 2878766567. The reversal of 2878766541 is 1456678782.

2878766541 is a `hidden beast` number, since 28 + 7 + 8 + 76 + 6 + 541 = 666.

It is not a de Polignac number, because 2878766541 - 2⁵ = 2878766509 is a prime.

It is a super-2 number, since 2×2878766541² = 16574593595162209362, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2878766521) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7038345 + ... + 7038753.

It is an arithmetic number, because the mean of its divisors is an integer number (77145600).

Almost surely, 2^2878766541 is an apocalyptic number.

2878766541 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2878766541 is a deficient number, since it is larger than the sum of its proper divisors (2058551859).

2878766541 is a wasteful number, since it uses less digits than its factorization.

2878766541 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 815 (or 809 counting only the distinct ones).

The product of its digits is 4515840, while the sum is 54.

The square root of 2878766541 is about 53654.1381535479. The cubic root of 2878766541 is about 1422.5541778820.

The spelling of 2878766541 in words is "two billion, eight hundred seventy-eight million, seven hundred sixty-six thousand, five hundred forty-one".