2687739200640 has 1280 divisors, whose sum is σ = 10991390256000. Its totient is φ = 620033605632.

The previous prime is 2687739200567. The next prime is 2687739200717. The reversal of 2687739200640 is 460029377862.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 4342066251 + ... + 4342066869.

Almost surely, 2^{2687739200640} is an apocalyptic number.

2687739200640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2687739200640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5495695128000).

2687739200640 is an abundant number, since it is smaller than the sum of its proper divisors (8303651055360).

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

2687739200640 is a wasteful number, since it uses less digits than its factorization.

2687739200640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1059 (or 1038 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 54.

The spelling of 2687739200640 in words is "two trillion, six hundred eighty-seven billion, seven hundred thirty-nine million, two hundred thousand, six hundred forty".