2661254400 has 216 divisors, whose sum is σ = 10037871424. Its totient is φ = 608256000.

The previous prime is 2661254383. The next prime is 2661254429. The reversal of 2661254400 is 44521662.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 124500 + ... + 144300.

Almost surely, 2^2661254400 is an apocalyptic number.

2661254400 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 2661254400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5018935712).

2661254400 is an abundant number, since it is smaller than the sum of its proper divisors (7376617024).

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

2661254400 is a wasteful number, since it uses less digits than its factorization.

2661254400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19837 (or 19818 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 2661254400 is about 51587.3472859382. The cubic root of 2661254400 is about 1385.7837492571.

The spelling of 2661254400 in words is "two billion, six hundred sixty-one million, two hundred fifty-four thousand, four hundred".