2177534940 has 48 divisors (see below), whose sum is σ = 6968113152. Its totient is φ = 497722176.

The previous prime is 2177534929. The next prime is 2177534971. The reversal of 2177534940 is 494357712.

It is a super-3 number, since 3×2177534940³ (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 2177534892 and 2177534901.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2591884 + ... + 2592723.

It is an arithmetic number, because the mean of its divisors is an integer number (145169024).

Almost surely, 2^2177534940 is an apocalyptic number.

2177534940 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2177534940 is an abundant number, since it is smaller than the sum of its proper divisors (4790578212).

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

2177534940 is a wasteful number, since it uses less digits than its factorization.

2177534940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5184626 (or 5184624 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 42.

The square root of 2177534940 is about 46664.0647607985. The cubic root of 2177534940 is about 1296.1493431199.

The spelling of 2177534940 in words is "two billion, one hundred seventy-seven million, five hundred thirty-four thousand, nine hundred forty".