2687846400 has 432 divisors, whose sum is σ = 10165755600. Its totient is φ = 676823040.

The previous prime is 2687846383. The next prime is 2687846417. The reversal of 2687846400 is 46487862.

It is an interprime number because it is at equal distance from previous prime (2687846383) and next prime (2687846417).

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 35 ways as a sum of consecutive naturals, for example, 8755047 + ... + 8755353.

Almost surely, 2^2687846400 is an apocalyptic number.

2687846400 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 2687846400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5082877800).

2687846400 is an abundant number, since it is smaller than the sum of its proper divisors (7477909200).

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

2687846400 is a wasteful number, since it uses less digits than its factorization.

2687846400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The square root of 2687846400 is about 51844.4442539410. Note that the first 3 decimals coincide. The cubic root of 2687846400 is about 1390.3841734376.

The spelling of 2687846400 in words is "two billion, six hundred eighty-seven million, eight hundred forty-six thousand, four hundred".