2670041400 has 192 divisors, whose sum is σ = 9008277600. Its totient is φ = 650280960.

The previous prime is 2670041393. The next prime is 2670041453. The reversal of 2670041400 is 41400762.

2670041400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 754836 + ... + 758364.

Almost surely, 2^2670041400 is an apocalyptic number.

2670041400 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 2670041400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4504138800).

2670041400 is an abundant number, since it is smaller than the sum of its proper divisors (6338236200).

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

2670041400 is a wasteful number, since it uses less digits than its factorization.

2670041400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3658 (or 3649 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 2670041400 is about 51672.4433329797. The cubic root of 2670041400 is about 1387.3072794579.

The spelling of 2670041400 in words is "two billion, six hundred seventy million, forty-one thousand, four hundred".