2671763940 has 60 divisors (see below), whose sum is σ = 8381427516. Its totient is φ = 712469952.

The previous prime is 2671763921. The next prime is 2671763957. The reversal of 2671763940 is 493671762.

2671763940 is a `hidden beast` number, since 2 + 6 + 7 + 1 + 7 + 639 + 4 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1541190564 + 1130573376 = 39258^2 + 33624^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 822999 + ... + 826238.

Almost surely, 2^2671763940 is an apocalyptic number.

2671763940 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2671763940 is an abundant number, since it is smaller than the sum of its proper divisors (5709663576).

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

2671763940 is a wasteful number, since it uses less digits than its factorization.

2671763940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1649258 (or 1649247 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The square root of 2671763940 is about 51689.1085239434. The cubic root of 2671763940 is about 1387.6055493116.

The spelling of 2671763940 in words is "two billion, six hundred seventy-one million, seven hundred sixty-three thousand, nine hundred forty".