2674895400 has 288 divisors, whose sum is σ = 9725002560. Its totient is φ = 682007040.

The previous prime is 2674895387. The next prime is 2674895407. The reversal of 2674895400 is 45984762.

It is a happy number.

2674895400 is a `hidden beast` number, since 2 + 67 + 48 + 9 + 540 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (2674895407) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1116604 + ... + 1118996.

It is an arithmetic number, because the mean of its divisors is an integer number (33767370).

Almost surely, 2^2674895400 is an apocalyptic number.

2674895400 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 2674895400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4862501280).

2674895400 is an abundant number, since it is smaller than the sum of its proper divisors (7050107160).

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

2674895400 is a wasteful number, since it uses less digits than its factorization.

2674895400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2447 (or 2426 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 2674895400 is about 51719.3909476900. The cubic root of 2674895400 is about 1388.1474553153.

The spelling of 2674895400 in words is "two billion, six hundred seventy-four million, eight hundred ninety-five thousand, four hundred".