2754142920 has 96 divisors (see below), whose sum is σ = 9239742720. Its totient is φ = 710743680.

The previous prime is 2754142913. The next prime is 2754142927. The reversal of 2754142920 is 292414572.

2754142920 is a `hidden beast` number, since 27 + 541 + 4 + 2 + 92 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2754142913) and next prime (2754142927).

It is a super-2 number, since 2×2754142920² = 15170606447572252800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2754142927) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 112234 + ... + 134553.

It is an arithmetic number, because the mean of its divisors is an integer number (96247320).

Almost surely, 2^2754142920 is an apocalyptic number.

2754142920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2754142920 is an abundant number, since it is smaller than the sum of its proper divisors (6485599800).

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

2754142920 is a wasteful number, since it uses less digits than its factorization.

2754142920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246835 (or 246828 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 2754142920 is about 52479.9287347077. The cubic root of 2754142920 is about 1401.7228653356.

The spelling of 2754142920 in words is "two billion, seven hundred fifty-four million, one hundred forty-two thousand, nine hundred twenty".