2413550400 has 168 divisors, whose sum is σ = 8049243744. Its totient is φ = 632985600.

The previous prime is 2413550387. The next prime is 2413550413. The reversal of 2413550400 is 40553142.

It is an interprime number because it is at equal distance from previous prime (2413550387) and next prime (2413550413).

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 23 ways as a sum of consecutive naturals, for example, 288679 + ... + 296921.

Almost surely, 2^2413550400 is an apocalyptic number.

2413550400 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 2413550400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4024621872).

2413550400 is an abundant number, since it is smaller than the sum of its proper divisors (5635693344).

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

2413550400 is a wasteful number, since it uses less digits than its factorization.

2413550400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8329 (or 8314 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 2413550400 is about 49127.8983877796. The cubic root of 2413550400 is about 1341.3809184460.

The spelling of 2413550400 in words is "two billion, four hundred thirteen million, five hundred fifty thousand, four hundred".